Yikes.
At the risk of sounding like a bit of an arse, if this is how you interact with people, I’m not surprised you’re having issues. I’m not trying to kick you when you’re down, but seriously, try to step back and think about how you come across when you say things like this, or when you repeatedly ask someone to socialise and they make polite excuses.
If this is a consistent problem - that is, not something you’re only experiencing with this woman, who probably has her own stuff going on - then you’re either putting people off in some way, or you’re targeting the wrong sort of people.
When you meet people, if you want to make friends, you need to sell yourself as the best version of you that you can. Then if the other person doesn’t want to pursue a friendship, they’re just not the right person. You need to develop a bit of a Teflon coating to let it slide off you when this happens, and move on to new people / clubs until you find the people you fit with.
I’ve moved around a lot in life and made a lot of new friends in different places - I’m not someone who is still hanging out with old school friends / uni friends, not that there’s anything wrong with that, obviously, just that it isn’t practical when you’re in new places. And, nobody gets it right all the time - I’ve definitely tried to socialise with people / groups who weren’t a good fit for me, or reacted in ways that aren’t ideal - it’s a constant learning experience. You just have to keep trying.