A letter or email that serves the sole purpose of conveying a hateful (usually deserved) message.
Example of a Hate Letter:
Dear boyfriend,
I'm breaking up with you because you're a disgusting, sexist pig and I can no longer bear to associate with you. I hope you fall off a cliff...and die.
All the best,
your EX girlfriend.
P.S. I will be telling everyone I know that you rape puppies.