He answered, "No:"
"I have trouble with the idea of a female Doctor, only because I reckon if you're born on Gallifrey a man, you're probably a male Time Lord."This question has been bandied about for decades, but the program's current producer has openly contemplated the concept of a female Doctor for several months.
Davison said the key to the success of the modern Doctor Who series was the dynamic between a troubled Doctor and strong female companion.
"It seems to me if you reverse that, if you have an uncertain, fallible female Doctor with a really strong male companion, you've got more of a stereotype than anything else."
As for the idea that a Time Lord cannot switch his or her gender? Well, there's already a precedent for that.
Joanna Lumley once played the role of "Doctor Who" in a 1999 charity sketch called "Doctor Who and the Curse of Fatal Death." Granted, this story really doesn't fall within the program's continuity. So I understand if others might not consider this to be a true example of a male-to-female Time Lord.
But the most recent season of "Doctor Who" just ended with a story arc involving a woman named Missy, who it later turned out was a female regeneration of the Master! So there's definitely precedent for a female Doctor.
What do you all think? Is there room in this world for a female actor to play the role of "Doctor Who?" Why or why not? I'd love to hear your thoughts!