Unless you count “Doctor Who and the Curse of Fatal Death”, made for Red Nose Day and in which the 13th Doctor was female and played by Joanna Lumley, there has never been a female Doctor.
Step forward Gladys with this excellent collection of Doctor Who ladies. You’ll notice that female William Hartnell and Patrick Troughton are black and white which feels appropriate for their TV era.
What I like about this collection of sketches is that none of these Doctors feel sexed up. They look real. Natural. Normal. That’s always been a clever thing the Doctor did.