I'm 31 now, and my twitch reaction is nowhere near what it was in highschool, yet Overwatch offers a whole bunch of characters (around half) who don't require (or don't have) twitch / reaction gameplay. There are characters who heal the other characters just by being in their vicinity, characters with beam weapons which automatically lock on to opponents, etc.
If you die, you are out of the game for 6-10 seconds as a penalty, but not "player elimination" in the board game sense.)