Interestingly the character is actually, and has always been, called "The Doctor" with no specific gender involved. I haven't watched Dr Who since I was in my teens but I vaguely remember a Time Lord that took female human appearance and wiki gives a list of Time Lords who have appeared in various programmes, magazines, comic strips, books etc. Of course the original Doctor had a grand-daughter, Susan, who must have been a Gallifreyan. At some point in the early days it was suggested that Time Lords took the most suitable shape for their chosen mission but since then the implication is that they are always of human appearance.
Children are like Slinkys - not much use for anything, but it always brings a smile to your face when you throw them down the stairs. Chinchilla