This was too close to the European Union for "Hard Brexiteers" such as David Davis - as many in her party have made clear in the days since and the likes of Johnson, who campaigned for Brexit and has been one of its most passionate cheerleaders since.
That business-friendly Brexit proposal was only agreed by her cabinet last Friday after two years of wrangling since Britons voted to leave the bloc in a 2016 referendum.
"I get along with her very well, I have a very good relationship", he said.
"But we will do this in a way which will be a smooth and orderly Brexit, a Brexit that protects jobs, protects livelihoods and also meets our commitment to no hard border" between the U.K.'s Northern Ireland and European Union member Ireland, she said.
Mrs May is pressing on with her Brexit plan, shrugging off the resignations of two senior ministers and the anger of eurosceptic lawmakers in her Conservative Party who have accused her of betraying her pledge of a clean break with the EU.
The Prime Minister is alleged to have blocked a suggested change from one of her ministers during the away day because it had already been approved by the German Chancellor.
Mr Buckland added that there had been a realisation that "we all hang together or we all hang separately". "Dreaming of a world that had turned out differently is not enough", former Conservative leader William Hague, an influential voice in the party, wrote in The Daily Telegraph.
Ambassador Johnson sought to play down Trump's comments.
That will infuriate many Brexiteers - indeed, it is what forced David Davis, Boris Johnson and Steve Baker to quit Government.
Davis told May in a letter that the government's proposals for close trade and customs ties "will leave us in at best a weak negotiating position, and possibly an inescapable one".
May responded that she was "sorry and a little surprised" by his decision but said she accepted it was necessary "if you are not able to provide the support we need to secure this deal in the interests of the United Kingdom".
"If the tails risks of a snap election or hard Brexit are averted, we see room for GBP to chew into its heavy risk premium, which favours buying into dips near 1.32", says Mark McCormick, North American head of FX strategy at TD Securities.
Meanwhile, Justice Secretary David Gauke warned Tory Eurosceptics that a "no deal" Brexit was "not an attractive option at all".
"I think that's why Brexit happened", he said, noting that Britain was "a pretty hot spot right now with a lot of resignations".
U.S. Ambassador to the United Kingdom Robert "Woody" Johnson IV said President Trump put America's global relations and Europe's own security "in perspective" with his tough talk at the North Atlantic Treaty Organisation summit.
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