I am good-looking, relatively thin, and very caring and sweet to be honest
Then, are you ridiculously anti-social? What kind of standards do you have? Also, let me see a picture of you so I can judge for myself.
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I show interest but I only get guys who want to fu*k me and not want a stable relationship. What can I do to stop this?
You have to search more and find guys who want a stable relationship. Usually the older guys would be looking to settle down. Anyway, marriage divorce laws are also a big discouragement these days, so many guys may really want love (not just fuck) but are scared of marrying.