Or you could just realize that it’s not personal and give signals that you’re friendly when possible. I’m a man, and I walk around my neighborhood a lot by myself. I get different reactions from different women when I pass by or walk behind them, some amicable and some standoffish.

It feels a bit bad when I get the impression that someone is scared of me, but I have the understanding to know that many women are cautious and possibly traumatized, and no one owes me friendliness.

Also, your comparison to Muslims is really off. Most people with prejudice against Muslims are rarely (if ever) exposed to them in real life and have their opinions influenced by conservative media. Women with fear of men in public spaces are usually informed by stories from their friends and their own previous experiences. I’ve witnessed enough to know as much.