I can only suggest the most likely strategy would be for them to eventually 'rest' the show and let the dust settle...
I have no real doubt that this next series will Be Jodie Whittaker's last, whether she likes it or not, and the BBC go for one last roll of the dice with a new actress selected in the hopes of saving the Corporations face.
But one of the fundamental problems with the female-Doctor concept is that it has yet to tackle the problem of the Doctor/Companion dynamic, it has to find a way to make it work and make it appeal. And I believe that that is easier said than done.
The reality is it has already failed. The show needs a minor miracle, it would need a new Producer/writer with the Midas touch and an intuitive grasp of how to structure this style of genre television and the talent to make the characters sing... great casting would be essential as well.
The odds of all of these things happening however, are remote indeed.
Only bring back either david or matt as another Dr would salvage the show!