I had over a year battling with my GP, trying to get HRT.
I'm a slim non smoker with no family history problems and still I wasn't allowed HRT because NHS prescribers are allowed to pick and choose what they prescribe and to whom. Guidelines are simply that, guidelines.
I went to a specialist and got them to tell my GP to give me oestrogel and utrogestan as I'd been asking for over a year. I was hugely symptomatic, the gynae commented on how much I was sweating the whole time I was there. She said that indicated no ovarian function left at all. I'd had to change my clothes multiple times a day before HRT.
I was 52/53 when all this was happening and I haven't had a period since I was 51, definitely post meno.
I asked my GP why it took 13 months and a letter for her to prescribe HRT, she said the problem was my choice of HRT was too risky without specialist say so, because they can't know if the woman will take both parts properly. She already knew I feel awful on progesterone so she decided I wasn't getting HRT unless I chose combined patches or combined pills and then she would know I wasn't skipping out the progesterone from it.
When I say she knew I had bad side effects on progesterone, it was a case of I told her and she assured me I was wrong, women don't react badly to HRT if it's HRT they need. As I'd reacted badly to Evorel Conti patches, I wasn't allowed anything else except tibolone.
I believe her facts and reasoning are both at fault here, but as a patient you either go along with your GP's beliefs or find another doctor.
There are no available GP places in our area, so I couldn't change GP, but seeing a private specialist would have hurried along the process. My GP seemed scared to prescribe it to me, like there could be terrible outcomes if I had HRT, hard to know. She sounded somewhat embarrassed on the phone after I got my HRT.
So that's how I got HRT despite having an uncooperative GP, I saw another doctor, eventually.
The government aren't putting any of the money they promised into the NHS, so I think you're likely going to have to pay to go private for at least one appointment, even just to get a letter to your GP nudging her along, then go back to the NHS for the prescriptions, hopefully.
Good luck, let us know if you get anywhere!
PS I thought it only increased the risk of recurrence if you yourself had had breast cancer and it doesn't increase the risk of getting it for the first time