Simple answer. You do not have a right to vent your frustrations just to anyone you want and in any circumstance. The other players do have a right not to see your frustrations also. When people vent their frustrations by directing it at their opponent it is very unsportsmanlike in Chess. That is why many people dislike playing chess in real life if their opponent always expresses their frustration vocally, and ESPECIALLY if they direct it at the opponent. Just vent it to yourself or someone else after the game.
One way you can "be angry" and talk to that person IS if you do not raise your voice, do not insult or accuse them of anything, and not use profanities. Basically contain your anger.
Chess.com doesn't allow to pent your frustration at him/her. So, do we should move forward. That person is ignorant that I am annoyed. So, how to pent our frustration yet follow chess.com community guidelines.