He's trying not to ogle so she doesn't have to kick him in the shins. And he's trying not to make it weird, which is just kind of funny. Stacia shakes the proffered hand.

"Nice to meet you too, Remus," she says. "Wish it were under better circumstances. Sorry about the state of dress; I broke up a tussle earlier and they won't let me leave to change."

She'd finally just lobbed the wad of bloody napkins into a regular garbage can, since carrying it around had been gross.