You’re right. As a hetero man, I was not doing activities that included many women. But I still don’t know what I could’ve done differently, because doing activities involving women that I don’t enjoy, so that I can be on the lookout for potential dates… doesn’t seem very enjoyable, and also seems a bit creepy. On the other hand, going to activities I don’t enjoy and not looking for dates seems rather pointless.
You’re always going to be seen as creepy until some woman doesn’t. That’s just the norms we have in society right now. You’re a threat until proven otherwise.
Most social activities that involve strangers are also full of men. This is because most men aren’t interested in going out and meeting new people they have no social connection with. Women go to parties, outings with other friends, etc. Men go to things alone like bars, clubs, gyms, sports, etc. to meet new people and bond with absolutely complete strangers. Most women don’t do this at all.