What happens to guys that don't initiate with women?

I'm a really quiet, laid-back guy and don't ever strike up conversation or initiate with women. My hobbies are reading, working out and volunteering. Don't want to have sex until I'm at least engaged.

My friend is convinced I'll end up alone if I'm not more assertive (I refuse to), and I'm convinced it will happen when it's meant to and if I deserve it the right woman will come to me at the right time.
What happens to guys that don't initiate with women?
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