Troon, does actually have a two clubs, one for men and one for women. So they do allow women members, just not in the one club, although there are discussions ongoing at Troon with regards to setting wheels in motion for the memberships to merge and have a membership like many 'normal' golf clubs do.
BBC website (2 days ago)
Royal Troon Golf Club is consulting members over whether to end its men-only membership policy.
The Ayrshire club, which is hosting this year's Open, shares its facilities with Ladies' Golf Club Troon but both have separate clubhouses.
To me, that's almost as bad as just flat out not allowing women.