Belzebub Banach
Belzebub Banach voted up Danae Hitch's answer
What to do when you called your mom a b*tch "not really saying it to her but writing it in a letter" and she found out? How do you restore the bond when it's already broken? How do you forgive yourself?

She must have read what you wrote down when you were mad at her. Just go to her and apologize. You're sorry that you said that in the heat of the moment and your emotions got the better of you. Next time, just think it, instead of writing or saying it.

Belzebub Banach
Belzebub Banach voted up Anonymous' answer
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I don't blame her.  If you're deliberately trying to goad someone you say is a friend, why should she respond?

It doesn't sound like you want a friend.  It sounds like you want a punching bag.