Bill/River
I had a similar experience when I first encountered one of the Catkind. I probably could have handled it better, but it was a human-sized, fully clothed cat, carrying a basket full of kittens. I think I can be forgiven the double-take the sight caused me.
It's a long story, but I was ill and the Doctor brought me there to recuperate. "Best hospital in the Universe." That's all fine and well, but the plan upon discharge could have used some work. It all turned out well enough, but I'd be lying if I said I didn't harbor a bit of bitterness over the whole thing.