This is an interesting question. I know I am loveable because I have had long time gorgeous friends with crushes on me propose. Now I have never dated in my life and can't do a sexual relationship in any way so I told them No, because marriage = sex. . Even though they were perfectly willing to try and help me work through my terror of being touched and understood the PTSD issues they thought... .
I made a choice some years ago when I was no longer someone's property that I would always stay alone so I would never be owned by anyone again.

But see they did not see me as damaged.
I am the one who sees it that way. I really have no reason to decide to change in this area regarding dating or relationships because right now it is safer for me to live alone and be alone. But things may change as I get older.

Nora in Colorado