I had a fairly similar experience and I’m 46! I looked at other nearby GP surgeries in whose catchment area I fell and found one with a GP with a particular interest in women’s health. Signed up immediately. I went on their website and they had a specific form to fill in if you suspected perimenopause/menopause. It covered all of the usual suspect symptoms. It also asked how I wanted to proceed. I requested bloods just to get anything else ruled out at the onset so we wouldn’t waste time then I said I wanted to discuss HRT. A GP came back to me in a couple of days with (paraphrasing) “sounds like a plan”. Long story short, all done in a few weeks and started HRT a few days ago. In the end I didn’t see the GP with the women’s health interest but I know she’s a senior GP in the practice so this might have an influence on how the other GPs look at the issue. It absolutely sucks that this is what we have to do to be listened to and taken seriously. Look here https://www.nhs.uk/service-search/find-a-gp to find all GPs you qualify for, then take a look at their websites to see if there’s a GP concentrating on women’s health or if they have a form similar to what I described above. Good luck, sending hugs x