Even though we know that Time Lords can change gender, I still always sort of thought that the ones that never did identified strongly as male or female and that most didn't change because it would be "wrong" for who they were. But then I think the ones that did change, like the one mentioned in The Doctors Wife, were gender fluid or non binary. Or you might have Time Lords born as one gender but they find they don't identify as it and become the opposite gender for the rest of their regenerations. I'm not opposed to a female Doctor per se, but I agree that the character has been consistently male and maybe Time Lords do have gender identity as strongly as we do. That's looking at it from a Watsonian perspective, of course, not a Doylist one. But from a Doylist one, I don't trust the writers to do a female Doctor well anyway.