"Well I don't want to get killed!" Arya retorts, knowing full well that's what would happen to both of them if one of them didn't finish off the other first. The idea of killing without provocation or justification didn't sit well with her, but she'd choose it over giving up her own life every time. She doesn't make another move toward him, though, instead leaning back against the wall of the cave as she tries to get her breath back, watching him closely.