It might be a divine namedrop, in a way, but it's not Clarisse's pantheon, and the specific names don't mean as much to her as they might to someone else. The important thing is, Strange has met gods before. Something about him, obviously, is important enough for that to have happened.

"Cool." Both the fact that he's met them, and the thing about the war. "Is that what happened to your hands?"

Not afraid to ask potentially rude or offensive questions, this one.