My wife has stated on numerous occasions that whether she is riding her bike on the road or walking the dog on the trail, she becomes very uncomfortable when a male is closing in on her, or if on a bike, hanging back behind her. She also carries pepper spray, so you’ve been warned.
As a result, I give women a wide berth and if I am slowly overtaking one on a bike, I will make an effort to get around her quickly and not engage in any greeting unless they do first.