As a crossover, I don't see why it wouldn't belong on Teaspoon. And, as a person who knows only one of the canons involved (well, I've got a little of the other by osmosis, but only a little), I still enjoyed reading it! I can readily tell what the fic has to do with Doctor Who, unlike that endless thing about Picard that keeps popping up.

(BTW, if you're bugged by the AO3 formatting thing where the first paragraph after a section break has unusually narrow line spacing, I found that it doesn't happen if you center the asterisks with p align=center rather than the center tag. I don't know why that fixes it, but we're talking about AO3.)