I caught the end of an episode. I now have a tic on my left eyelid and a tendency to wake up with a startled cry of "CARROTS! BASTARD!" if the nightmares have been mechanically leporine in form.A female Doctor would be death to the ratings. There's nothing so conservative with a small 'c' as the British television watching public. Points of View would be inundated with letters from Mr Angry from Purley, Sir Tufton Bufton and Lord Harrumph.
I don't think any of them watch Doctor Who. They're all lying in a darkened room, calling for their nurses after Don't Scare The Hare.