The Prime Minister could be seen walking hand in hand with the Republican firebrand after talks between the two world leaders at the White House.
Mrs May was the first leader to meet with the US President after his shock election victory saw him secure his place in the nation’s highest office.
But the Prime Minister defended the affectionate gesture saying Mr Trump was attempting to be gentlemanly.
She said: "I think he was actually being a gentleman.
Insiders claimed Mr Trump suffers with a fear of stairs and slopes
“We were about to walk down a ramp, and he said it might be a bit awkward."
Sources inside the White House later claimed Mr Trump suffers from Bathmophobia – a fear of stairs and slopes.
At the time an insider said: “He hates heights where you can see the ground or sharp inclines even more than germs.
“He particularly dislikes staircases and his biggest nightmare of all is a dirty stair rail.”
May meets Trump: Historic first meeting in pictures Fri, January 27, 2017
The two leaders will spend about an hour in face-to-face talks in the Oval Office, where President Trump has restored a bust of Winston Churchill removed by predecessor Barack Obama.
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President Trump Meets With British PM Theresa May At The White House
The Tory leader faced criticism for holding Mr Trump's hand
Speaking to Vogue Magazine, Mrs May claimed she felt the special relationship was still going strong between the two leaders.
She added: “I like to think we got on.
“I mean, obviously he has, uh… it was a stunning election victory, in that he’s someone who has not been involved in politics.”
It comes after Mrs May poked fun at the size of Donald Trump's hands in a joke to a private fundraising party.
The Telegraph reported that in response to applause from Tory donors, Mrs May said: "Thank you very much for that wonderful reception.
The Prime Minister defended the affectionate gesture
Mrs May claimed she felt the special relationship was still going strong
"I don't think I have received such a big hand since I walked down the colonnade at the White House."
Mr Trump has faced jibes about the size of his hands since the 1980s, when Spy magazine repeatedly labelled him a "short-fingered vulgarian".
The taunt even surfaced in the contest for the Republican presidential nomination, when rival Marco Rubio asked: "Have you seen his hands? And you know what they say about men with small hands."
A furious Mr Trump later hit back in a TV debate, saying: "Look at those hands. Are they small hands?… I guarantee you there's no problem."