Coming from someone who writes a few hate songs here & there, I'd say write about what exactly it is you hate or someone you hate, but don't directly say it, does that make sense? Don't say who it is you hate, you have to kind of keep it hidden so that person doesn't know you're talking about them. That's what I do.
How about sleeping on the hate one more night, try to understand where the individual was coming from and if they had any relevance. Hate is much too powerful and should be avoided. I will not participate in hate, because it lowers self worth and creates fall guys for small pricks who need to cling to such hate.