London (CNN) Sending lawmakers off on an unexpected Easter break after the Brexit deadline was extended for six months, Theresa May told them to use the opportunity to "reflect" on how to get out of the current stalemate that has left the UK in limbo.

For herself, the Prime Minister is thought to be taking a few days off -- perhaps on one of her favorite walking holidays with her husband -- before returning to Westminster, clear-headed and refreshed, to try to finally find a deal on Brexit. And yet, arguably, while she deserves the break, leaving the scene is the last thing she should be doing right now.

The decision by EU leaders to extend the deadline for Brexit until October 31, at the end of a fraught summit that ran into the early hours of Thursday morning, was akin to a pressure valve being released in Westminster.

British Prime Minister Theresa May leaving a European Council meeting on Brexit at The European Parliament in Brussels on April 11.

Lawmakers tired and -- in some reported cases, ill -- from the repeated late nights and close-run votes on Brexit were relieved that the Easter recess, which had been canceled to try to reach a deal before the old deadline of Friday April 12, was back on. It is their first break since Christmas.

Yet that release of pressure has created a vacuum into which the more hardcore Brexit enthusiasts have rushed to seize the agenda from the Prime Minister.

Read More