The solution to this problem is to not give a shit. If you don’t care about your k/d or getting killed, there is nothing that can interfere with your game play. As soon as you get mad, you get into “tryhard-mode” which only makes it worse because you are forcing yourself to be better, kill someone, etc.
If you play TO, try to play the first two maps with classes you are bad with or loadouts you never play, because then you expect to die a lot and won’t care when it happens - just have fun with it. Then when you are relaxed and warmed up, you play your normal class/setup.
I do share peoples hatred for archers, though. Sometimes I make it a personal mini-game to hunt and kill an annoying archer as many times as possible during a game, preferably from behind which they don’t like.