Morgana is perfectly fine with propriety not being the first thing on everyone's mind, at the moment, and she hugs him back tightly, as they're crowded on the the stairs, just out of the brackish liquid. She's still holding on to his might-be-a-screwdriver.

What she says was the thought that ruled her actions -- it was something the Doctor said to her elsewhere. "It's a tool, but so is a hammer."