I'm annoyed with someone for being insecure
Why does their insecurity annoy you?
I'm tired of hearing that person's problems with their insecure ways.
You should try to not let someone else's insecurity annoy you. They have problems they are dealing with and you being annoyed at them could make it worse.
It's not my fault. I hope that person gets over his insecurities or people will make fun of him.
You can set a good example for other people by helping him get over his insecurity. You should try and lift them up and help them overcome their insecurity by showing them that they are a good person in other ways.