A real sniper, once their shooting position is exposed, the first thought is to flee — only a fool would risk attempting to counter-kill the enemy; that's certainly a dangerously suicidal act.
Because the enemy that can discover you must have a brain that is stronger than yours, or at least just as strong as yours; they can see through your calculations, so they must be highly intelligent.
This usually means that they also have decent professional capabilities: for a sniper, professional capabilities naturally include the ability to kill.
Thus, dueling with an enemy who is more formidable than you, or at least just as formidable, especially when you're already in a disadvantageous situation, is obviously irrational.
Why not choose another time and place to decide the winner, instead of stubbornly seeking a fight to the death here?