I seem to be unable to accept the fact that I can have a girlfriend too?

This one's going to be a long read, so thank you in advance if you read it.

So, I'm 28, and I've never had a girlfriend. I don't think I'm ugly, but I'm definitely not handsome. Something in between. I have a lot of friends, I get on with people really well, I am friendly and a lot of fun (that's what people say). But women just aren't interested in me. But that's not exactly the point.

Tere's another problem (primary). I can't even imagine having a girlfriend. For some reason, it feels so unnatural when I imagine having one. But the worst thing is I can't imagine it because of my parents, sister, grandparents, etc. I always feel some kind of shame or something, when I talk about these things with my family. I feel like I don't deserve a girlfriend and I can't talk with my family about these things. I don't know how to explain it. When they start this topic I just feel uncomfortable and change the topic or leave. Even if I had a girlfriend I wouldn't want my family to know about her, because it's just awkward.
Everytime my parents say something related to having a girlfriend or a wife (e. g. "You'll see one day when you have a wife and kids, you will..."), my first thought is "Why do you think I'll have a wife and kids? And it's not because I don't want to, but because, for some reason, I have the feeling that I shouldn't or can't or don't deserve it.
I don't know how to explain it better and I don't know anyone who has this problem. I don't know what to do, and I clearly have to overcome this in order to be able to find a girlfriend. I want a girlfriend but currently I can't imagine having one and telling my family about her.

Have anyone experienced something like this? Did you manage to solve it?
It's crazy and it's already driving me mad.
I seem to be unable to accept the fact that I can have a girlfriend too?
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