Happy to provide whatever info I can.
After giving Audi multiple attempts to fix the issue (they’re only legally entitled to one attempt) I informed the dealer in writing that the car was not of acceptable quality and I was rejecting it.
The Head of Business at the dealer contacted me and explained that he believed the hesitation was a “characteristic” of the Q7 and that they were unlikely to accept the rejection. He offered to come to my house and drive the car himself, as he has a Q7 and wanted to compare. After driving just a couple of miles he agreed that the hesitation was a lot worse than he was expecting and that the car was not of acceptable quality. Other people trying a rejection may not be so lucky and may have to get an independent inspection of their car.
The dealer has now submitted the rejection details to the manufacturer, who also have to agree to the rejection. He had already spoken with the relevant department before driving the car and they had agreed that they would support his decision. He is therefore confident that Audi will accept the rejection. Again, others may be given more hoops to jump through at this stage.
The next step is for the dealer to buy the car back at the purchase price, less “reasonable” usage. The car is still in perfect condition, so this will be based purely on the mileage I’ve driven. I’m currently waiting for their offer, so I don’t know yet what their idea of a “reasonable” pence per mile figure is. I’m expecting to have to dispute it.
Once a buy back price is agreed Audi will collect the car and refund me.
The whole process from start to finish should take no more than 28 days.
I think I’ve been very lucky to have had an honest, understanding, well connected with the Audi group, Head of Business to deal with. I’m sure very few rejections are accepted this easily.
I should note that my car was paid for outright, so I don’t know how the process works if you’re on a PCP or other finance. I suspect you would have to first contact the finance company rather than the dealer, as the finance company own the car.