Washington (CNN) The White House has indicated that President Donald Trump is not overly concerned by Chinese leader Xi Jinping's recent move to consolidate power by abolishing presidential term limits, but perhaps he should be.

Trump's press secretary, Sarah Sanders, told reporters on Monday that the decision is one "for China to make about what's best for their country," but by clearing the way for his own indefinite rule, Xi has presented Trump with a challenge unique to any president since Richard Nixon in the 1970s.

Xi's push to abolish term limits means he will likely remain the most influential leader of the emerging superpower for life and have more time to dedicate to his quest to rejuvenate China's influence at the expense of the US.

Trump now has the dubious honor of being the President in office alongside the most powerful Chinese leader of the modern age, at a time when China has never been more politically and economically assertive.

Such a scenario does not just pose challenges for Trump as he tries to manage the crucial relationship with Xi, from a position of relative political weakness given his rival's strength and his own troubles and unpopularity at home.

It also raises questions about America's long-term approach to China, and the possibility that an emboldened Xi will view himself as having even more leeway to aggressively assert territorial claims in the South China Sea and Chinese political and economic influence in Asia and beyond.

"Xi's recent move is yet another example of his political dominance in Beijing and a demonstration of his willingness to act boldly and decisively, regardless of convention or tradition," according to Abraham Denmark, a former deputy assistant secretary of defense for East Asia and director of the Woodrow Wilson International Center for Scholars.

"This move will give Xi more flexibility to vigorously pursue his domestic political and economic agendas as well as his foreign policy ambitions," Denmark said.

Photos: Chinese President Xi Jinping Chinese President Xi Jinping speaks in Beijing's Great Hall of the People on Wednesday, October 25, as the new lineup was unveiled for the Chinese Communist Party's all-powerful Politburo Standing Committee. The new lineup did not include an heir apparent to Xi, who analysts predict will dominate the country's politics for decades to come. Hide Caption 1 of 34 Photos: Chinese President Xi Jinping XI, left, stands with his father, Xi Zhongxun, and his younger brother, Xi Yuanping, in 1958. Xi Zhongxun was a communist revolutionary who held several positions in the National People's Congress. Hide Caption 2 of 34 Photos: Chinese President Xi Jinping From 1969 to 1975, Xi worked as an agricultural laborer in Liangjiahe, China. He was among the millions of urban youths who were "sent down," forced to leave cities to work as laborers in the countryside. Hide Caption 3 of 34 Photos: Chinese President Xi Jinping Xi, right, poses for a photo as a college student in 1977. Hide Caption 4 of 34 Photos: Chinese President Xi Jinping A 1979 photo of Xi as he worked for the general office of the Central Military Commission. From 1979 to 1982, Xi was the personal secretary for Defense Minister Geng Biao. Hide Caption 5 of 34 Photos: Chinese President Xi Jinping Xi listens to villagers in north China's Zhengding County in 1983. At the time, he was secretary of the Zhengding County Committee. Hide Caption 6 of 34 Photos: Chinese President Xi Jinping Xi poses for a photo as he sits in his office in 1983. Hide Caption 7 of 34 Photos: Chinese President Xi Jinping Xi -- in the back row, second from right -- poses with a group in Muscatine, Iowa, in 1985. As part of an agricultural delegation, he was making his first trip to the United States. Hide Caption 8 of 34 Photos: Chinese President Xi Jinping Xi receives a key to the city from Muscatine Mayor Gerald Powell. Hide Caption 9 of 34 Photos: Chinese President Xi Jinping Xi visits San Francisco in 1985. Hide Caption 10 of 34 Photos: Chinese President Xi Jinping Xi and his new wife, folk singer Peng Liyuan, pose for a photo on China's Dongshan Island in 1987. Hide Caption 11 of 34 Photos: Chinese President Xi Jinping Xi, as the Communist Party secretary of Ningde, China, participates in farm work in 1988. Hide Caption 12 of 34 Photos: Chinese President Xi Jinping Xi and Peng in 1989. Hide Caption 13 of 34 Photos: Chinese President Xi Jinping Xi, left, meets with citizens of Fuzhou, China, in 1993. He was the city's party secretary from 1990-1996. Hide Caption 14 of 34 Photos: Chinese President Xi Jinping Xi, front left, helps reinforce a levee of the Minjiang River in 1995. Hide Caption 15 of 34 Photos: Chinese President Xi Jinping Xi meets with Wu Poh-hsiung, vice president of the opposition party Kuomintang, in 2000. From 1996-2002, Xi held various posts in China's Fujian Province, including governor. Hide Caption 16 of 34 Photos: Chinese President Xi Jinping As Shanghai's party secretary in 2007, Xi welcomes former US Secretary of State Henry Kissinger and Pepsi President and CEO Indra Krishanamurthy Nooyi. Hide Caption 17 of 34 Photos: Chinese President Xi Jinping Xi talks with hearing-impaired students at a school in Shanghai in 2007. Hide Caption 18 of 34 Photos: Chinese President Xi Jinping Xi brings blankets to a villager after ice storms in 2008. That year, Xi became China's vice president. Hide Caption 19 of 34 Photos: Chinese President Xi Jinping Xi kicks a soccer ball in 2008 as he inspects a field in Qinhuangdao, China. The stadium was hosting games during the 2008 Summer Olympics. Hide Caption 20 of 34 Photos: Chinese President Xi Jinping Xi chats with former US President Jimmy Carter in 2009. Carter was attending a Beijing dinner that celebrated 30 years of US-China relations. Hide Caption 21 of 34 Photos: Chinese President Xi Jinping Xi feeds swans during an official visit to Hungary in 2009. Hide Caption 22 of 34 Photos: Chinese President Xi Jinping Xi and US Vice President Joe Biden inspect an honor-guard contingent during a welcoming ceremony in Beijing in 2011. Hide Caption 23 of 34 Photos: Chinese President Xi Jinping Xi pushes his father as he walks with his wife and his daughter, Xi Mingze, in 2012. Hide Caption 24 of 34 Photos: Chinese President Xi Jinping Xi became China's President in March 2013. Here, he walks with US President Barack Obama before a bilateral meeting in Rancho Mirage, California, in June 2013. Hide Caption 25 of 34 Photos: Chinese President Xi Jinping Xi meets with former US President Bill Clinton in Beijing in 2013. Hide Caption 26 of 34 Photos: Chinese President Xi Jinping Xi visits Cuban leader Fidel Castro in Havana, Cuba, in 2014. Hide Caption 27 of 34 Photos: Chinese President Xi Jinping Xi and Peng pose with the Obamas before a state dinner in Washington in 2015. Hide Caption 28 of 34 Photos: Chinese President Xi Jinping Xi has dinner with US President Donald Trump at Trump's Mar-a-Lago resort in Florida in April 2017. Hide Caption 29 of 34 Photos: Chinese President Xi Jinping Xi shakes hands with teachers and students while visiting a university in Beijing in May 2017. Hide Caption 30 of 34 Photos: Chinese President Xi Jinping Xi inspects a military garrison in Hong Kong in June 2017. Hide Caption 31 of 34 Photos: Chinese President Xi Jinping Xi shakes hands with Russian President Vladimir Putin before a meeting in Moscow in July 2017. Hide Caption 32 of 34 Photos: Chinese President Xi Jinping Xi, center, attends the closing session of the 19th National Congress in October 2017. Hide Caption 33 of 34 Photos: Chinese President Xi Jinping US President Donald Trump and XI take part in a welcome ceremony at the Great Hall of the People on Thursday, November 9, 2017, in Beijing during Trump's visit to Asia. Hide Caption 34 of 34

Beijing, thanks to the rigidity of its Communist system, always plays a longer diplomatic game than the US, where China policy is subject to four-yearly disturbances caused by presidential elections.

But Xi's enhanced status will give him even more of the luxury of time that his US opposite number lacks. In the event of a serious disagreement with Trump on trade or North Korea, for instance, Xi could simply wait him out in the knowledge that he will face another president sooner or later.

Xi's elevated status also further emphasizes the power imbalance between his relative strength and Trump's own more compromised political position -- a situation that analysts say sometimes worries China as it fears unpredictability in the US relationship but that senior officials in Beijing also often see as a sign of a political system trapped in an inevitable cycle of decline.

A new CNN/SSRS poll on Sunday showed Trump's approval rating has dropped back to 35% -- by far the worst measure of any new president since polling records began.

"China is going to have stability in its leadership -- we may or may not," said Christopher Johnson, a former CIA analyst who is now at the Center for Strategic and International Studies.

"More importantly, we have a president in China who whatever else you might say is fundamentally convinced in his inner being that the US is out to destroy China's system."

Trump often gripes that he has inherited a rising China, arguing that letting the Communist giant into the World Trade Organization allowed it to build wealth at America's expense.

The current situation has been the product, however, of a bipartisan foreign policy designed to ease China's rise into the international system while avoiding conflict with the US.

But the speed of Xi's stunning capture and consolidation of power and emergence as a strongman comfortable with domestic repression has surprised many observers and prompted questions about the US approach.

Bill Bishop, who writes the Sinocism newsletter about Chinese politics, said Xi's power grab was the culmination of a process set in motion at last year's Communist Party National Congress, which enshrined "Xi Jinping thought" in the Constitution, meaning he would be unchallengeable by other politicians while he was alive.

"It's just the final nail that says this guy is different. Not only is he giving China a much more assertive global vision and footprint but also he is making clear that he is upending the rules that we have gotten used to over the last several decades of Chinese politics," said Bishop.

That new model of leadership is likely to lead to a more assertive and muscular China, as evidenced by its aggressive territorial claims in the South China Sea and its Belt and Road infrastructure, trade and development initiative, which will stretch from East Asia through Central Asia into parts of Africa and Europe.

"You can make the argument that Western countries are facing the most serious challenger to the global order and to US primacy since at least the Cold War -- since the Soviet Union," said Bishop.

While the White House and State Department have opted not to criticize the move to drop presidential term limits, Xi's growing power and China's rising challenge to US interests have not escaped notice on Capitol Hill.

"Instead of evolving toward liberty and rule of law, Beijing is backsliding," according to Republican Rep. Ed Royce of California, chairman of the House Foreign Affairs Committee.

What is Trump going to do about it?

In reality, Trump's policy on China may be playing into Beijing's hands.

Trump yanked the US out of the Trans-Pacific Partnership in January 2017, leaving the door open for Beijing to push its own brand of trade in a region that is home to many of the world's fastest-growing economies.

He also lavished praise on Xi in October, saying he doesn't fault China for taking advantage of differences between the way the two countries do business.

"I don't blame China," Trump said during remarks to business leaders inside the Great Hall of the People. "After all, who can blame a country for being able to take advantage of another country for benefit of their citizens? I give China great credit."

Trump also praised China on Monday for doing "more, probably, than they've ever done" in pressuring North Korea, but he said Russia has undercut those efforts to isolate North Korea by "sending in what China is taking out."

But despite lavishing praise on Xi for his efforts to help curb the development of North Korea's nuclear program, Trump has repeatedly indicated that the US needs significant assistance from China for sanctions against the rogue regime to have the desired effect.

A large portion of North Korean trading activity, licit and illicit, flows through China, and much of it needs formal access to banking services.

But there is little evidence to suggest that China has lived up to its promise to help choke off funding to Pyongyang.

"International sanctions on North Korea have tightened dramatically in the past 18 months and Chinese banks are attempting to signal to their global counter-parties that they are compliant with all regulations," according to Varun Vira, chief operating officer at C4ADS, which tracks illicit funding to North Korea.

"The impact is still to be seen," Vira told CNN. "Chinese banks have claimed to be closing North Korean accounts for years now, and besides, most significant account-holders at these institutions who are attempting to evade sanctions are unlikely to be overtly North Korean passport holders. They are far more likely to be Chinese nationals and companies facilitating, or acting on behalf of, North Korea."

Is Trump being played?

Trump said last week that this administration has "developed a great relationship with China, other than the fact that they've been killing us on trade for the last long period of time -- killing us, absolutely killing the United States on trade,"" and he has often touted his strong personal relationship with Xi.

But Trump's comments suggesting US-China relations are stronger than ever are "ludicrous," Denmark told CNN.

"Our relations have been far stronger than they are now, and there are several issues that could disrupt relations in addition to trade, such as North Korea, Taiwan, the East China Sea and the South China Sea," he said.

But despite Xi's most recent effort to consolidate power within his own government, Denmark said the US still maintains leverage in its relationship with China.

"The US is China's most important foreign relationship, and Beijing would prefer to avoid significant turbulence with Washington," Denmark told CNN.

"That said, China's leaders recognize that turbulence may be coming, especially if President Trump decides to take action in the economic space to demonstrate resolve or build leverage. While Xi would prefer to strike a deal with Trump, China is ready and willing to respond to any negative action that the Trump administration may take," he added.

While there is some danger that Beijing may look to take advantage of Trump's perceived ties with Xi, Denmark noted that both the Pentagon and the State Department appear wary of China's intentions.

"The Trump administration's national security strategy and national defense strategy both discussed great power competition with China as a leading challenge for the United States, and I don't expect that Trump is going to get snookered," he said.

"If anything, he may feel the need to push hard on trade issues -- despite China's ability to retaliate in kind."