At this point, my opponent's trigger goes on the stack first (since they're the active player), then mine (non-active player). My two triggers do two damage to my opponent, killing them before their own trigger can resolve and kill me.
But now we're wondering—is there anything that could have made me not win in this situation? For example, could I have activated an ability or played an instant, changing who was the active player at the crucial moment? Or was their fate sealed as soon as I blocked?