The Committee to Protect Journalists swiftly condemned a new tweet by President Trump by saying the message he's sending is that violence against journalists is acceptable.

After a week that was dominated less by policy and more by media fighting, Trump tweeted a video clip on Sunday morning showing him attacking WWE owner Vince McMahon, except that the CNN logo was superimposed on McMahon's head.

"Targeting individual journalists or media outlets, on or offline, creates a chilling effect and fosters an environment where further harassment or even physical attack is deemed acceptable," the statement from the CPJ read.

"Just a few weeks ago a reporter was physically assaulted by a congressional candidate, so our concerns are real. The White House's charged rhetoric online not only undermines the work of the media in the U.S. and makes it more dangerous, it emboldens autocratic leaders around the world."

Days before the now-infamous tweets from President Trump last week that went after "Morning Joe" hosts Joe Scarborough and Mika Brzezinski, the president was already warring with CNN after three reporters for the network resigned over an inaccurate report about the ties a Trump associate had with Russia.

Concerns of rhetoric leading to violence has been an issue for people of all ideological and partisan stripes in recent weeks.

The CPJ statement references the " body slam" of a reporter by then-candidate Greg Gianforte as he was running as the Republican nominee for a House seat in a Wyoming special election. Republicans also point to the shooting of House Majority Whip Steve Scalise and other Republicans as they were practicing in Alexandria a day before the annual congressional baseball game.

Democrats were also quick to condemn the president's CNN "wrestling" clip.

The tweet seems likely to add to the debate over whether Trump is distracting attention from the Republican agenda, especially as it relates to healthcare, a complaint heard from Republican Sen. Bill Cassidy of Louisiana on Sunday on NBC's "Meet the Press."

"Our focus cannot be on the tweet," Cassidy said. "Our focus has to be on that kitchen table family paying 20, 30 and $40,000 for their premiums, wondering how they're going to make ends meet."

Cassidy was only referring to the Trump tweets about Scarborough and Brzezinski.