Ladies, is it normal for you to stare at someone that you're attracted to but not willing to talk to them or date them?

I mean some girls stare at me ( I think mainly because I might have very attractive and charming eyes) and keep doing it even when I stare back and I don't know whether I should approach them or not, afraid they might be just staring and not inviting me to talk to them and I don't like getting rejected, So what's the deal here?
Ladies, is it normal for you to stare at someone that you're attracted to but not willing to talk to them or date them?
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