Certainly unlikely to happen soon. Capaldi is new and likely to stay for a while.
Clara is certainly different from other companions in the way she’s been spread through time.
As far as female time lords are concerned, the first doctor was dragging his granddaughter around with him and there are clearly females on Galefrey. River Song had some time energy due to being conceived on the TARDIS.
First Companion to actually threaten the Doctor
The Doctor: She'll be fine.
Clara:Speak for me again, and I'll detach something from you.
< long beat> I'll be fine.
Yes, River Song being conceived from two human parents while in the TARDIS, resulted in a child with Time Lord regeneration abilities.
In the series, time-travel was discovered by humans in the 54th Century, and you see a bunch of them time traveling in the series (notably including "Captain Jack Harkness" of Torchwood).
Which brings in an interesting possibility: are the "Time Lords" really a different species who just happen to look human, or are they the descendents of human time travelers who traveled into the distant past and settled on Gallifrey?