Which raises the other question. What's so bad about hating someone? God hated people. If he can do it why can't we?
I'm not sure G-d ever hated a person, (I know the Biblical language). G-d hates sin and what sin produces, but I think He loves the sinner even while the sinner is choosing Hell.
Yes, it is possible to love the sinner and hate the sin.
Don't believe me.... have you ever had one of your kids do something wrong?