@SlightlyJaded There is nothing in your update that shows you can't have HRT, based on both the BMS advice (linked) and the Blood Pressure UK site.
The only absolute no-no for HRT is recent heart attack or stroke or DVT.
In fact given what you are taking now, I think many specialists would advise that you take HRT! (for the heart benefits.)
The advice on HRT is that transdermal HRT (patches, or gel+Utrogestan) do not raise the risks of clots above someone's normal baseline risk.
It was the old, outdated forms of HRT (tablets and different types of HRT) that came with a small risk of stroke or clots.
If you have simply been told by your GP that you can't have HRT, it looks on the surface, that they are misinformed and out of date.
You are already having a lot of symptoms where your quality of life is poor because of loss of estrogen and (ironically) this loss of estrogen will possibly increase your risk of heart disease.
If your GP isn't open to reading the advice linked to above, or learning, then you'd probably benefit from spending £250 on a private consultation with a menopause specialist.
Have a listen to the 4 minute video here with Prof John Stevenson on CVD and HRT- covers lots of points. It's near the bottom of the page.
https://thebms.org.uk/publications/bms-tv/