Actually, I live in a country where female taxi drivers don't exist, to all extents & purposes - the two (both widows who inherited the car & had kids to support...) I've met in five years of using about 5-10 Ubers a week, were both doing it in the teeth of considerable family opposition - it's seen as neither a safe nor a respectable occupation for a woman.
Because of dodgy male customers.
I happily use ubers, although I do try to arrange to travel with friends rather than be alone in them after dark. Many of my female friends won't - it's common for those who can afford it to have a part time/full time driver they trust. With increasingly independent teenagers, I'm edging towards this option too.
A women's only taxi service would be nice, frankly. I'd use it, support it & feel a damn sight happier with my dds having more independence to travel freely.
It pisses me off that where this DOES exist, some asshole always needs to come along & chunter about it. No. Go away & get your own nice things. Stop trying to take them from women.