Eowynthewarrior that's an interesting point, especially in a country like the UK which is both sexist and car dependent. I'll counter it and say that green policies can really work for women in cities, if done right.
I've lived in cities in 3 different countries in Europe, none of which encouraged car use. City 1 was in a really misogynist country where I didn't go out after dark on my own and didn't trust the public transport, so entirely fits your description. But it also wasn't safe to cycle, so I had to trust to walking without being followed or harassed if I was avoiding the metro. City 2 was more neutral, but was better than British cities in that there were always local shops and schools so you never had to walk far, because it was designed to be accessible. Plus, it was more civilised misogynist: not much daycare or support for working women, but always someone to help you lift your buggy, hold a toddler's hand or help with the shopping in an old fashioned gentlemanly way. City 3 was a cycling city with excellent public infrastructure. I'd actually say that with small children it was the easiest because you put the kids on your bike, then cycle right up to the door of the shop or school, no fuss about parking and buggies. I also felt safest on my bike at 4am on my own, because it's pretty hard for anyone to follow or grab you on a bike. The public transport was designed with both safety and access in mind, and also meant that kids were independent younger, both on bikes and transport, so less taxiing and women can get on with life.
So I guess my conclusion is that half-arsed green schemes don't work, and won't ever work for anyone (men, women, disabled, parents, children), but done properly they can actually reduce a lot of the load on women that is just assumed in the UK (like taxiing children, inconvenient shops, poor connections between workplace and school). Feminist town planning is definitely a thing, and should also be green.