i was going to suggest breeze
(https://www.letsride.co.uk/social suggests there’s a couple relatively near you, but not super close)
(there’s someone in Penge who leads breeze rides multiple times a week. there’s a reason they’re women only, cos rocking up to a bike ride with a whole bunch of blokes can be very intimidating, and statistically way less women take part in cycling as a hobby compared to men. we’ve been v careful in penge to not do anything specific for women in terms of club rides and events, but stuff like breeze allows women to get into the sport easier imho)
(also, the wednesday arvo thing: i expect you’d be surprised. a whole bunch of folk i know and ride with regularly are either retired, or self employed, so can just ride whenever they want. i’m so jealous when they ask on pengebook if anyone is around on a weekday to head out!)