Her deal has only one, slim chance of achieving a majority in the Commons.
That is if she pledges immediately to resign and set in motion the election of her successor as Tory leader and PM after we leave the EU on the new deadline of May 22.
If she does so, Tory Brexiteers and the DUP must back the deal. Because if it fails again this week we are heading for a much softer Brexit — or none.
That will be a catastrophe for the country, the Tories and Parliament.
Mrs May deserves huge credit. She is a dedicated public servant with an unshakeable sense of duty, who in 2016 took on the greatest challenge of any PM since World War Two.