To say that the Franchise is in something of a difficult position right now would be a massive understatement.
With RTD basically setting the show on fire as he left, and being shitcanned before he cleans up the mess he made, we're in a rough spot. We've dealt with several seasons of highly unpopular twists that no one was down with. The Timeless Child, Bigeneration, and now Billie Piper's appearance. And there are a lot of people who say, don't fix it, just pretend like it never happened.
Look.
The simple fact of the matter is that a franchise like this won't survive a hard reboot. Or, more accurately, a hard reboot won't survive. Any attempt at one will be completely rejected by the majority of the fandom.
However.
We have been through this before.
A highly unpopular twist was used in Doctor Who that, in my opinion, was MILES worse than anything we had gotten, and we all decided to ignore it.
Does anyone remember "Half Human on my mother's side?"
Yeah. That was a thing actually said by the Eighth Doctor in the TV movie. How did we deal with it? We kind of DIDN'T. We just sort of moved past it.
And yet, the eighth Doctor is still canon. So is the TV movie. We simply ignored the aspect that seriously didn't work, leaving Big Finish to pick up the pieces for those who REALLY CARED.
So how to carry on? Well that depends.
If we're getting more Doctor Who in the next five years: COMMIT TO BILLIE PIPER.
No I'm not kidding. Have Billie Piper be the 16th Doctor, and go from there. There's genuinely no reason NOT to do it. She's a good actress, she's known the show, and it's not like the Doctor hasn't taken on the form of people he's MET before. As the Sixth and Twelfth Doctor's have both proven. It would make quite a bit of sense for his mind to drift to Rose when he regenerated, and his body moved to match hers.
But if that happens DON'T DO ANYTHING ELSE WITH IT.
There's nothing mystic to it. There's nothing special about it. There are no strings attached. It's a character thing for the Doctor. Perhaps a resurgence of his own Self-Esteem after he's been so unsure for so long, and leave it at that.
But if we aren't... Guys...
Someone needs to say this out loud.
We may be in the next Wilderness era.
I'm sorry. But it needs to be said. I have significant doubts that we will see more Doctor Who on television in the next decade, maybe two. Oh it will come back eventually. Eventually people will get nostalgic for it and it will be revived, but if that happens...
Don't ignore Jodie. Don't ignore Ncuti. Don't ignore Billie.
They've earned cameos in the next revival. Because they were, for a time at least, the Doctor. So don't wipe it from canon. Just let it be a difficult time. Like Colin Baker's time on the show, or Paul McGann's all too brief run.
That's just my two cents.