Excerpts from Trump's bombshell interview were published Thursday just as the president was scheduled to dine with May at the palace.
She said: "Trade is one of the top items for discussions between the president and the PM today and we are confident that we can do a good trade deal with the US".
But trip planners may go out of their way to shield Trump from viewing another aspect of the greeting: an oversized balloon depicting the president as an angry baby in a diaper that will be flown from London's Parliament Square during what are expected to be massive gatherings of protesters opposed to Trump's presence.
And another Tory MP, Anna Soubry, said the president "diminishes the standing of the great country he is meant to lead".
"We are committed to dialogue, including of course with those we strongly disagree with and in government we would find a way to work with his administration while also standing up for our values".
In a statement released late Thursday, White House press secretary Sarah Sanders said: "The President likes and respects Prime Minister May very much".
President Donald Trump says he used to like London a lot.
"The people voted to break it up so I would imagine that's what they would do, but maybe they're taking a different route, I don't know if that is what they voted for".
"Melania has seen photos of the Trump baby blimp, and she doesn't find it amusing in the slightest, she thinks it's mortifying", a source close to the first lady tells HollywoodLife EXCLUSIVELY.
Trump has frequently angered British politicians.
There are also plans for protestors to gather close to the U.S. ambassador's residence in Regent's Park, where Trump and his wife, Melania, will stay overnight on Thursday.
"I think he has done a very bad job on terrorism", Trump told the tabloid.
Liberal Democrat leader Sir Vince Cable said the United States president "now chooses our leaders". He said they spent about 90 minutes talking at dinner and claimed they "probably never developed a better relationship than last night".
Trump was greeted at the palace by May, whose government has been rocked by resignations from ongoing tumult over Brexit. "We can not roll out the red carpet for a U.S. president that treats human beings this way", the statement noted.
Emily Thornberry, Labour's shadow foreign secretary, told ITV's Good Morning Britain show it is "extraordinarily rude of Donald Trump to behave like this".
Bringing chaos with him as he moves across Europe, President Donald Trump's pomp-filled welcome to Britain was overshadowed on Friday by an explosive interview in which the president blasted Prime Minister Theresa May, blamed London's mayor for terror attacks against the city and argued that Europe was "losing its culture" because of immigration.
Mrs May will be looking to improve her often publicly strained relationship with the United States president as she pushes for a post-Brexit trade deal with America.
In Scotland, almost 8,000 people had signed a petition to be allowed to fly the giant Trump baby ballon over the Turnberry course where the US president is expected to play golf Saturday.
The president and first lady will travel to Windsor on Friday afternoon to meet the Queen, before flying to Scotland to spend the weekend at Mr Trump's Turnberry golf resort.
Protesters are set to fly the Baby Trump blimp over Parliament on Friday when Trump will not be in town.
"First we had North Atlantic Treaty Organisation, then we have the United Kingdom and then we have [Russian Premier Vladimir] Putin".