LONDON — It was damage control, Trump style.

A day after creating a diplomatic incident in Britain, President Trump kind of apologized to his host, Prime Minister Theresa May, but did not entirely back off the critical statements about her handling of Britain’s withdrawal from the European Union that created the problem in the first place.

He used a news conference at Mrs. May’s country home to assail the news media once again, deny facts in plain evidence and make a series of false or questionable assertions. On a day when 12 Russian intelligence officers were indicted by the Justice Department for interference in the 2016 election, he chose not to condemn Moscow for its actions.

He also had tea with Queen Elizabeth II.

The second day of Mr. Trump’s visit to Britain was a jarring mix of carefully choreographed pomp and pageantry on the one hand and the unpredictability of his relentless convention-breaking on the other. The special relationship between the United States and Britain may survive, but for a day at least it encompassed a balloon caricature of a scowling baby Trump in a diaper floating over Parliament Square, perhaps the most enduring image of the widespread protests against the president’s presence.

“I am doing a great job, that I can tell you,” Mr. Trump said, “just in case you haven’t noticed.”

He acknowledged that his views on immigration in Europe — that it is “changing the culture” and creating security problems — were not politically correct. “But I’ll say it and I’ll say it loud,” he added. He suggested that Russia’s annexation of Crimea was the result of weakness by his predecessor, Barack Obama.