Well, I can't speak for the entirety of England, but at least around here Doctor Who is definitely not considered a nerdy thing- at least, unless you're an adult. If you're an adult who likes it (and doesn't have children) you would be thought of as a little strange- but only in the same way as an adult liking any family-oriented show.

And being a nerd is pretty common where I am, so there isn't really any badness associated with it here. Of course, a lot of those 'nerds' are basically hipsters who pretend to be nerds, damn them *shakes stick at kids on lawn*.