During a press conference Friday afternoon, he denied criticizing May and suggested that the newspaper had left out his praise of the British prime minister.
Within hours, however, Trump had flip-flopped and denied criticizing the prime minister, insisting: "We want to trade with the United Kingdom, and the United Kingdom wants to trade with us".
After Trump's interview was published, White House spokeswoman Sarah Sanders said the president "likes and respects Prime Minister May very much", adding that he had "never said anything bad about her". "I don't take questions from CNN", Trump told Acosta, who's network he has long had a beef with.
Though Trump previously said on Thursday that he believes London citizens "like [him] a lot", despite reports of multiple planned protests against him, Trump later said he feels "unwelcome" in London due to the planned protests.
He said May's plans to bind Britain's economy closely to its European partners after Brexit would "probably kill" its hopes of a United States trade deal.
A weekly recap of the top political stories from The Globe, sent right to your email. "He's been saying very good things about me as president", Trump said.
When asked of her views on the Access Hollywood tape, May said, "I think that's unacceptable, but in fact Donald Trump himself has said that and apologized for it".
Trump said her plan would likely "kill" any UK-US trade deal.
On immigration, Trump said Europe was "changing culture" and "changing security" through its policies and "they'd better watch themselves".
"They didn't put it in the headline", referring to the positive comments he claimed to have said about May during the interview.
LANGFITT: I think - May didn't go into great detail here.
Trump was meandering, combative and inaccurate in many of his answers - attacking "fake news" CNN, referencing his uncle "John Trump at MIT" to crow about his understanding of nuclear weapons and repeatedly lampooning President Barack Obama, his predecessor. "He's been saying very good things about me as president". "He thought she was great on North Atlantic Treaty Organisation today and is a really terrific person". There is nothing to suggest the hard-nosed dealmaker would go easier on Britain, and he may press hard for lower tariffs and easier access for USA industry to Europe's second-biggest economy. "He is thankful for the wonderful welcome from the Prime Minister here in the U.K".
"The problem is they come in the context that the president has turned up and went to this formal dinner at Blenheim Palace on Thursday and then an interview he gave to The Sun newspaper when he threw the prime minister under the bus and praised Boris Johnson. I think he's got what it takes and I think he has got the right attitude to be a great prime minister".
At the Chequers news conference, Mr Trump said he had been responding to the Sun's question about Mr Johnson as a possible prime minister, adding: "He has been very nice to me".
Before heading for Scotland, the president and Queen Elizabeth II became acquainted over tea at Windsor Castle.
Elinor: 'I'm protesting because I know that he is not a good president and the world is becoming more and more extreme, and this is just a sign of the extremity we have reached.
Queen Elizabeth II has met every United States president since 1952, with the exception of Lyndon B. Johnson.
Among them was Emily Bryce, who proudly carried a homemade banner written in Gaelic, in recognition of Trump's Highland roots.
However his trip to meet Putin is set to be overshadowed by news that a US federal grand jury has indicted 12 Russian military intelligence officers on charges of hacking the computer networks of 2016 Democratic presidential candidate Hillary Clinton and the Democratic Party.
The president also pledged to raise the issue of election meddling during the summit and said he would tell Putin not to interfere in future US elections. That's your decision. Whatever you're going to do is OK with us.