Being someone who is supposed to wait for others to initiate contact

It appears as if some people are destined to wait for others to reach out rather than putting themselves out there. We're always told to put ourselves out there to meet new people but it never worked out well anytime I did that. I was always met with people acting annoyed that I approached them even if they weren't in a conversation even though other people can do the exact same thing and they have no problems. I don't like annoying others or being seen as someone who can't take the hint so that's why I always wait for others to initiate contact and it has proven to be more beneficial.

Now I'm not saying you should stand in a corner and act all closed off but at the same time waiting for others to approach while giving off an open approachable vibe seems to be better than outright putting yourself out there. I know it's easy to tell when someone is forcing to put themselves out there and it shows and can even come off as cringy and I'm sure I came off that way myself. It does appear some people are naturally able to meet others without turning them off and others aren't able to do that and I think that's just how it is for certain people including me. Has anyone else have similar thoughts or experiences?