Sure, champ right after the discovery of alien life that perhaps doesn't share the same binary as we do.
"But, the Doctor CAN'T be a woman!"
"Only TimeLady's can have time babies!"
"How dare you suggest that Timelord biology might not follow the same binaries as humans!"
"I've read a lot of books about a made up universe, I know the FACTS!1!"
"Those aren't boobs on a Daleks, those are BUMPS!"
Yep. You got me there. Plenty of imagination.
That binary seems to exist pretty much everywhere in life...and just to qualify here, we are talking specifically about pregnancy, particularly in humanoid/primates. Even if we weren’t, there’s still a slew of y’know science. I am not remotely fussed about gender self-identification etc.
The alien life can, as you say, do what it likes...or more accurately, what it evolved to do.
Your understanding of biology in a scientific context is poor. A male blackbird is black, a female is brown. These outer signifiers are helpful when they are working out how to breed. Scientifically speaking, I am not going to ask them how they identify, and were I making some kind of Noah’s ark to preserve life from earth, I better make sure I know what is required for breeding pairs.
Humans are a bit more complex is almost every other way, but the basics of what you need to make a baby..well..much as it may pain a lot of fine people, that’s kind of how it is.
As to your idea about fans...well, if you were attempting to parody me, or lump me in with some group your febrile mind has conjured, it’s a poor job.
You also seem to know very little about the fiction.
Not least as I have stated my preference for the narrative devices that neatly sidestep the whole argument, but odds are you will make that a discussion about canon. Which is a shame, because Doctor Who was doing a much better job of talking about gender and alien biology, when it was mostly fans and books.