LONDON, Jan. 14 -- British Prime Minister Theresa May has warned lawmakers of catastrophic impact on democracy if they rejected Brexit deal.

With the clock ticking down to its March 29 exit from the European Union, and parliament deadlocked, Britain faces a hugely uncertain path that could lead to a disorderly exit or even remaining in the bloc.

May said that the lawmakers must not let down the people who backed Brexit in a June 2016 referendum.

Earlier May had postponed a vote in parliament on her deal in December.

"Doing so would be a catastrophic and unforgivable breach of trust in our democracy," she wrote in the Sunday Express. "So my message to Parliament this weekend is simple: it is time to forget the games and do what is righ...