In Arya's experience, people didn't often offer their hands to children--or girls, for that matter. In Westeros a handshake was a gesture of respect between men. That was the only reason for Arya's slow blink, her hesitation before she accepted the offered hand that Neil held out to her, her own hand ridiculous small, almost doll-like compared to the larger man's.

"Arya Stark of Winterfell," she replied, because it was nice to feel safe enough to be Arya Stark or Winterfell again. Charlie's hand was taken with less hesitation, partly because she was expecting the gesture now, and partly because, well, she was a girl, and it didn't seem quite so odd or surprising. She was still wary, and her manners weren't as delicate and refined as her sister's, but she was polite enough. "Pleased to meet you."