Senior cabinet ministers David Davis and Boris Johnson quit this week over her plans for trade ties with the European Union after Britain leaves the bloc next March.
Trump is also expected to travel to Scotland, where he owns two golf courses. "Are you honestly saying that the right to protest, the right to assemble, the right to free speech is limited by the ridicule it might cause to someone else?"
Securing a U.S. -UK deal post-Brexit is something both Trump and May's government have heralded as being a major benefit of leaving the EU.
Here is what 20 people who we spoke to on the streets of London thought about the United States president's upcoming visit.
The U.S. Embassy issued the advice on Tuesday ahead of the President's arrival on Thursday for talks with a Prime Minister Theresa May.
Following the cancellation of his first arranged visit to the United Kingdom in February this year, President Trump will make his first official visit to the United Kingdom as president.
The ambassador added May had shown strong leadership and that the trip would enhance the special relationship between the United States and Britain.
South Africa charter plane crashes near Pretoria leaving 1 dead, 20 injured
The plane, which had been expected at the Aviodrome , "crashed in South Africa during take-off on a test flight", it said. The plane had the words "Martin's Air Charter" painted on it, which was a previous name of Dutch cargo airline Martinair.
Organizers of anti-Trump rallies say they are not expecting any trouble at all - and that it would be very unlikely for any hostility to be directed at ordinary Americans.
Last month, Labour member of Parliament Gavin Shuker ran down a list of objections to Trump: the separation of migrant families and detention of children; the US departure from the United Nations' Human Rights Council; the USA president's praise for North Korean leader Kim Jong Un.
"I think that's absolutely disgusting", Eugene Bibby, who runs a domestic appliance fix shop in Tommyfield Market in Oldham, told Fox News about the balloon.
Some 50,000 people are expected to attend a protest against Trump's visit on Friday (July 13)-just one of several demonstrations that organizers have promised will be a "carnival of resistance."
The U.S. Embassy in London alerted American citizens there to "exercise caution" and "keep a low profile".
According to the British Sunday Times, White House officials are planning to do all they can to "shield" Trump from the demonstrations by keeping him on a tightly organized schedule, but this will be hard as Britons have organized enormous demonstrations in major cities throughout the country.