I received my letter on the 14th September, 61 days after my application was made. Their letter to the Doctor arrived on the 16th September, 2 days later (?) and the first appointment I can get is the 30th September 2021, 77 days after my application.
That gives the DVLA 13 days to process, assess, and issue my licence to meet the 90 day target. Given that I know they will write to my GP, this will obviously not happen.
I have already resigned myself to not having a licence until around early December. That's the same time as my birthday so it will be a nice present.
Than I need to begin looking for cars and insurance.