Have found this:
Equality Act considerations: private membership organisations are not exempt from anti-discrimination laws. The Equality Act 2010 applies to private members' clubs, prohibiting discrimination based on protected characteristics such as age, disability, race, or sex. The Act allows private clubs to restrict membership to people who share certain protected characteristics (eg single-sex clubs are permitted); however, it is still unlawful for private clubs to restrict their membership to people who share certain other protected characteristics.
I wonder which protected characterists cant have their own club. Surely pensioner clubs are about age. I am sure there are clubs for people with a similar disability. And aren't their Carribbean clubs?
But, and I know I am repeating myself, I thought too many women have now been Stonewalled, and would think it wouldn't be "kind" to exclude TW from a women only club.