Is this hate speech?

Conservative: "I am, and always have been, a staunch supporter of free speech, whether I like what's being said." But i'm going to delete people if i decide their posts are asinine.

Me: So you believe in free speech except when you decide that your critics don't deserve to be heard?

Conservative: You retard, i'm giving the left a piece of their own medicine. That's hate speech!

Me: because two wrongs make a right?

Conservative: I teech u a lesson! *delete, delete delete*

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Am i out of line here?