Aw I’m sorry you had that experience. I always appreciate guys who hold doors and show respect to women. Good tip to smile. I need to do that more :-)
Just like girls don't like guys coming on strong, if you are interested in someone, approach that person in a considerate manner. It's not difficult to show interest and then see what the other person's response is. The double standard of it being OK for guys to get rejected but not girls makes no sense.
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Guys pass me and say hi at the gym but don’t really start conversations with me. I also worry how they’d respond to me as well.