Look here.
NY Times said:A new livery service starting Sept. 16 in New York City, Westchester County and Long Island will offer female drivers exclusively, for female riders, according to its founder.
I think you are reading that wrong. the "exclusively" goes with the drivers. Nothing you have shown suggests they will not also pick up men. Show more if you want to make this point. It's not present yet.
It's a sexist company founded by a woman who just plain hates men and neither wants them as employees nor customers. But hating men is considered really progressive so nothing to see here, right?
You are funny.