Instead, she was offered a short delay to 12 April - the date by which the UK must say whether it intends to take part in the European Parliamentary elections - or until 22 May, if UK MPs had approved the withdrawal deal negotiated with the EU. They voted it down for a third time last week.
It's the day before the new European Parliament will hold its first session. So the logic is, that it would allow the UK a bit longer to seal a deal - but without the need for British MEPs to take their seats in a parliament that the UK electorate had voted to leave as long ago as 2016.
She said if cross-party talks with the Labour Party could not establish "a single unified approach" in the UK Parliament - MPs would be asked to vote on a series of Brexit options instead which the government "stands ready to abide by", if Labour commits to doing the same.