This really could be two questions. First we have the image of Trump and May holding hands in this article in the Telegraph.
Then they claim from an unsourced insider:
But Government sources in Washington DC were suggesting that the hand-holding was not as a result of a deep and lasting friendship after all.
The insider said that Mr Trump is known to have an aversion to slopes or stairs, and said this could have been the reason for the president's decision to grasp the Prime Minister’s hand.
Such a fear is a recognised condition - called bathmophobia.
Any truth to this claim?