What version of the Doctor wouldn't have gone running out of the costume shop if he'd been transported to the women's changing room without warning? That was the real question. There were certain things that would catch the Doctor wrong-footed almost every time, and random appearances amongst women's lingerie was one of them, or at least this Doctor liked to think so.
He was going to continue on with that train of thought for a good deal longer when the young woman's inquiries stopped it cold. "Wait. Sorry. Did you say how many of me are there? Have we met?"
The Doctor walked a circle around her, looking her up and down and trying to determine if he'd seen her before.