On Thursday, Trump will travel to Blenheim Palace, the 18th-century stately home where Britain's World War Two leader Winston Churchill was born and spent most of his childhood.
She held a meeting of her new Cabinet on Tuesday before attending a Western Balkans summit in London with other European leaders.
"I was elected to represent my constituents and the Prime Minister's team needs to be aware that backbench MPs won't sit idly by and allow a so-called "soft Brexit" with us being half-in, half-out", Andrea Jenkyns wrote in The Daily Telegraph.
Ben Bradley and Maria Caulfield warn that May's plans for close links with Europe after Brexit risk handing Jeremy Corbyn the keys to 10 Downing Street.
But senior pro-exit Cabinet ministers said they supported May and would not resign.
Nick Hurd, Britain's Policing Minister, told parliament police expected more than 100 protests across the country, including two large demonstrations in London on Friday, and there were robust and proportionate plans in place.
Conservative lawmaker Michael Fallon, an ally of May, dismissed Johnson's "Brexit dream" rallying cry.
Fans thank England for 'making nation dream'
Croatia , a country of about 4 million people, came to a standstill as fans watched the game on screens in squares and cafes. George Lee, 59, from Hull, also backed Southgate's young team to get to the final, predicting a 2-1 win.
Certainly, most work that Investec see on the subject takes the view that Sterling offers good value on long-term models such as the Real Effective Exchange Rate and Purchasing Power Parity, "although such value measures are notoriously poor at defining where a currency should be trading today", cautions Wyn-Evans.
Conservative Party rules state that when 48 letters of no confidence are sent to the head of the 1922 Committee, a vote of confidence will ensue.
"Nor do we expect a leadership challenge".
'The Chequers deal is a plan that has been put together, it's been agreed by government, ' she said as she arrived in Brussels for the North Atlantic Treaty Organisation summit.
The trans-Atlantic relationship has had some awkward moments since Trump's election.
"He can not compromise the workings of a shared Customs Union across the EU for everybody else", he said.
Liberal Democrat former deputy prime minister Sir Nick Clegg said the USA leader had "every right" to come to the United Kingdom but said he would be attending an anti-Trump demonstration. "I'm very strong on immigration".
There are plenty of other concessions Theresa May would have to make, either to reality or to the European Union (if not both) before this plan would be anywhere near workable: it would require further movement on the role of the Court of Justice of the European Union (sometimes wrongly called the ECJ), on how we would enforce regulation, on the border backstop, and more.