Her government is trying to make up ground in reacting to a fire that trapped people in their beds in the early hours of Wednesday, with many unable to escape as the flames raced up the building, cutting off exit routes and forcing some to jump.
Both May and her ministers have said they will do all they can to help those left homeless after the blaze and make sure other high-rise buildings, usually home to poorer people, are checked and safe.
But with Jeremy Corbyn, leader of the opposition Labour Party, emboldened by a better-than-expected result in an early election that wiped out the Conservatives’ majority, May’s government has been forced to justify cuts at a time when complicated talks to leave the European Union are beginning.