A female Doctor Concept that didn't change canon..Assuming the reference first made in the Doctor's wife had not been introduced by Moffat...
The Doctor Goes missing, but his TARDIS is the only thing found. abandoned.. Lonely. The Doctor's Daughter Jenny returns Looking for her father. IF the universe knew he was missing then all chaos would ensue. So to keep the universe thinking the Doctor Was around, Jenny assumes his title, and portrays herself the Doctor in female regeneration format. show kicks off with the 1st season being a mystery arc, looking for clues to where to find the last place her father was.
Sets up season 2 story arc. (at any point, Jenny could regenerate into a new female lead, keeping the show going and see how the public likes the new focus. Totally in canon and without changing anything, thus still having a female Doc. Everyone wins, and we have a mystery that involves the main character, and making the show irresistible. I mean, they even could have done a whole, The Doctor's missing campaign! Complete with posters all over London or Cardiff and promo it with the local media.
Instead of all this gender politics, we could have had a focus on a good story.
As a Davison fan, that fact Jenny is actually played by his daughter and married to Tenant just makes it all the more perplexing this wasn't thought of as a good way to break the glass ceiling.. without taking away anything.. only adding to it, and in an interesting way. At least that is how I would have done it.