Cathy is so much more awesome if you think about it like this:
Cathy is a tranny. Specifically, Cathy is a grown-up tranny version of Charlie Brown.
Ridiculously round head. Extremely insecure. Unlucky. Prone to screaming “AAAAARGH!” The poor boy gave up on both the red-headed girl and all of his abusive “friends” and moved far away where he started a new life with a new gender.