Random musings here… Remember how #11 (Matt Smith) took an inventory of body parts immediately after regeneration? – “arms, hands, fingers – lots of fingers, ears, yes, eyes too, nose – and I’ve had worse, chin, … hair – I’M A GIRL!” That scene was a huge hint of things to come.
I think Jodie Whittaker will do just fine, as long as the writers do their job. Consider Romanadvoratrelundar… She began as the 4th Doctor’s assigned chaperone for the Key of Time arc. She was the first companion who was the Doctor’s true equal. A Time Lord (Lady), top of her class, brilliant, witty, arrogant, condescending. There was an icy tension and competitiveness there, portrayed well by Mary Tamm vs. Tom Baker. And tensions settled down when Lalla Ward took over the role. So from that perspective it’s not that much of a stretch to imagine a Romana like character as the Doctor. Cold Romana or warm Romana or somewhere in between. Or maybe Jodie can borrow from the Rani, the evil bad-ass Time Lady from the Colin Baker / McCoy era. For me it’s all up to the writers in how good the next series will be.