I've watched the first episode. I thought it was well done. I think it's going to be a good run if the stories are good stories. I have confidence that if this ends up a failure in the Dr. Who universe, it will be because the stories fail, not because Dr. Who is now female.
I do have problems understanding her accent at times. I need to find the closed captioning button.
You're not alone in having problems with her accent (which is her own). I do too, and I have an uncle who comes from Leeds, not far up the road from where Jodie Whittaker is from (Huddersfield). It is a little, shall I say, thick.
It's not the first time a doctor has used their natural accent, of course. Christopher Ecclestone (Manchester) certainly did, but also managed to be perfectly clear.
I've yet to see ep.3, but I will say that, so far, JW has done a good job. The character is essentially the same but different, as is always the case, and the fact that the Doctor is now female doesn't jar as much as it might have in less capable hands (writing as well as acting).
But the writing in general hasn't been up to scratch. Yes, the transition to a new doctor has been handled well, but otherwise...
The other thing that might be a death knell, or at least be the beginning of the end, is the shift in time slot from prime-time Saturday to what was supposed to be a regular slot, but actually hasn't been (shifting around by 10-15 minutes each week already) on a Sunday.
Given the way the BBC has traditionally seen and treated sci-fi, and the way in which SF seems to have disappeared from our screens again with the new head of drama/controller taking over, the overall impression is that Auntie secretly wants it to fail. If that happens I have no doubt JW will be left to carry the can, even though it'll be anything and everything else to blame on the evidence so far.