I'm all in favour of strong female lead roles, Voyager is my second favourite Trek partly for that reason (Patrick Stewart is too awesome to come second), but making The Doctor female seems like pandering to political correctness/feminism to me. It's not like the show hasn't had numerous fantastic female characters, they don't need to prove their credentials on female characters.
I've seen talk of making James Bond female, but really why? Create a new spy in a similar style sure but why the need to change existing characters.
What TV producers should be doing is creating high quality new shows with female leads, or strong new female characters in existing Universes.
It's not like it's even that hard to create new shows or characters like that, there's Janeway as I already mentioned, Rey in Star Wars, Dutch in Kill Joys, Two In Dark Matter and so many others.