She hardly looks at anyone once she enters the arena. It's a public area after all and large enough that there's almost always someone there: there's no point in getting picky about it.

It's when she pulls the rifle from her shoulder that she does feel someone's eyes on her, looking around to see who it is. The man could be old enough to be her father (but in this place it's hard to tell by appearance alone): she gives him a nod in greeting to be polite. She was looking to work with swords anyway, she might consider asking when he's finished.

The sound of metal then gets her attention, as is the sight of what looks like some fingers missing were there should be. She doesn't mean to inquire what happened, and as he doesn't look around to pick of the sword, she figures he'd probably not wish to talk about it either.

"Is the sword a new weapon for you?" She eyes the revolver at his hip.