Should you take rejection personally? How do you personally handle rejection?

I don't know if any of you have been rejected romantically but if so, how did you deal with it? Did you take it personally?

There is a line of thought that being rejected by someone, or a lot of people means you are not good enough and have things to work on about yourself. You are not worthy essentially. I tend to agree that if someone is rejected the fault is usually on them, but rejection still feels very painful.

I recently went on two dates with an intelligent, attractive woman. I was able to make her laugh consistently, flirt, and I tried to talk comfortably to her. She told me after the first date that I'm not shy and she likes talking to me. After the second date though, she told me she wants to just be friends as there isn't any chemistry. I thought we had a connection, but she didn't seem to agree.

I really liked her; she is intelligent, confident, and thoughtful. She had a silly side to her. She is good looking to me and dresses well. Should I have accepted her offer for friendship instead of saying I'm not interested?

Is there anything wrong with being rejected, being single? Is it a marker on your worth? I mean if people don't want you, it is your fault. You have a problem.

How do you deal with being rejected by someone you really like? And should you take it personally?