There's an organisation called The Menopause Exchange, whose sole aim is to disseminate accurate information about the menopause:
https://www.menopause-exchange.co.uk/
A back issue of their newsletter is available on the website of Aintree University Hospital:
https://www.aintreehospital.nhs.uk/media/8036/menopause-exchange-78.pdf
The whole of page 6 of that issue, written by the Chairman of the Institute of Trichologists, is devoted to the subject of hair loss during the menopause. The article as a whole looks well worth reading but I'd particularly direct your attention to the following passage:
"Certain HRT products can help to
treat female pattern hair loss. The hair-friendly ones are Premique and Indivina (both of these products contain the antiandrogen medroxyprogesterone acetate) and Angeliq (containing drospirenone)."