Trump arrived in Belgium for the North Atlantic Treaty Organisation summit on Tuesday.
May reached out to him just days after Mr. Trump was inaugurated, extending the invitation for a coveted state visit that would be hosted by Queen Elizabeth II, but that gesture has proved far more controversial than expected as Mr. Trump has shown little interest in maintaining "diplomacy as usual" with European allies.
Speaking at a Nation Rifle Association rally in May, Trump compared one of London's hospitals to a "war zone".
"They don't have guns".
Asked about Trump's comments, May said: "We're delivering on the vote of the British people to take back control of our money, our laws and our borders". London hasn't been used to that.
It's unclear what hospital Trump was talking about. They have knives and instead there's blood all over the floors of this hospital.
At the same time, Trump will be touring a defense site with May outside of London.
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He and First Lady Melania will have a meet and greet at the US Embassy in London.
There will be small-scale protests all along Trump's itinerary and a mass demonstration called "Together Against Trump" by left-wing campaign groups in London on Friday. "Bad deal. Wanted me to cut ribbon-NO!"
Amid reports that the government is working to bring a major police presence to the demonstrations, Amnesty International warned British authorities against attempting to stamp out freedom of expression in an effort to "appease their visitors".
They were met by International Trade Secretary Liam Fox, the Lord-Lieutenant of Essex Jennifer Tolhurst, chief operating officer of Stansted Airport Brad Miller and a regiment of RAF airmen.
But, he added: "Whether he sees it, whether he reacts to it, we don't really care. No thanks", Trump tweeted. "I'm very strong on immigration".
Labour Party legislator Paul Flynn, who has criticized Trump in Parliament, says Trump has outraged Britons - and people around the world - with his harsh treatment of immigrants.
"The Mayor of London gave the permission [for the blimp to fly] and, you know, it's disgusting and it should never have happened", he said.
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The US, too, was hoping to make the agreement with the UK with Washington's ambassador to the UK Woody Johnson saying it will be a "major priority" for the Trump administration, the report added.
Equally, she said people have a right to protest against policies they do not agree with. Trump took aim at May in a tweet. He'll remain in the United Kingdom until Sunday.
"Donald Trump could do perfectly fine doing rallies in the United States".
Theresa May with Donald Trump at the White House in January 2017.
Khan told London residents there'll be an intensified police presence in the wake of the attacks, and there was no cause for alarm.
Despite the welcome from May, many Britons are opposed to Trump's visit.
England and Belgium to win
It is in the knockout rounds that I hit my stride, though, and I hope to continue like this. It was hard to take two years ago, and we do not want a repeat of that".