Meanwhile, former foreign secretary Boris Johnson fired his latest attack on her plan in his weekly newspaper column, claiming it would usher in "foreign rule" for the first time since the Norman conquest in the 11th century.
The scientific community is calling on her government to retain a close association with European science, in the form of a "closest possible associate membership" within the overall deal with the EU.
UK Labour Party leader Jeremy Corbyn leaves the stage after delivering a speech at Queens University in Belfast, Northern Ireland, May 24, 2018.
Mrs Dodds was speaking as Mrs May told the BBC's Panorama programme that MPs will have a choice between her proposed deal with the European Union or no deal at all.
Ms Lagarde warned of a serious depreciation of the pound, reduced growth going forward, and an increased deficit which would rapidly decrease the size of the country's economy, all following a no deal Brexit.
But with time running out for London and Brussels to thrash out a Brexit deal, the British government is preparing plans for a no-deal Brexit.
She agreed past year for Northern Ireland to stay locked in the bloc's Single Market if the border can not be kept open.
Asked about her plans to stay in the job, she said: "This is where I get a little bit irritated".
The IMF said that all likely Brexit scenarios would "entail costs", but a disorderly departure could lead to "a significantly worse outcome".
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Unai Emery - a three-time victor of the Europa League with Sevilla - will hope to lead the Gunners to May's final in Baku. Chelsea are also involved in the group stage after finishing 5th in the Premier League last season.
Meanwhile, Brexit supporters criticise the International Monetary Fund for a series of doom and gloom forecasts of leaving the EU. Signs are growing that the party has no intention of bailing the Prime Minister out.
But he faced criticism from Environment Secretary Michael Gove who said that it was "interesting and troubling that he [Khan] wants to frustrate the vote we had in 2016".
He told the BBC a future prime minister could alter the relationship between the United Kingdom and the EU.
May will meet EU leaders in Salzburg on Wednesday and Thursday, as she seeks a breakthrough in talks on the Brexit divorce and the future UK-EU trading relationship.
The report notes that a no-deal Brexit would have "significant consequences for the United Kingdom and the European Union", adding: "We remain of the view that this would be chaotic and damaging for the United Kingdom economy and would leave many businesses facing huge uncertainty".
According to a Comres survey, 50% of British adults feel the overall impact will be negative, whereas 41% think it will be positive.
Sinn Fein vice-president Michelle O'Neill said: "Theresa May's focus remains on the civil war in her own party instead of focusing on negotiations with the EU".
In the interview, to be fully aired as part of the BBC " s "Panorama' programme on Monday night in the United Kingdom, the premier also issues an ultimatum to critics who have questioned her strategy on Brexit.
May has proposed that Britain follow European Union rules in trade in goods after Brexit, to protect manufacturing supply lines and avoid a "hard border" between Northern Ireland, part of the United Kingdom, and the Republic of Ireland.