Well, I got one right for a change.
I learned a while ago (after my young and impetuous days) to stay still and as quiet as possible after the shot (gun or bow) watching (if possible) but always listening and trying to mark an "auditory trail" for getting a general direction. Also always listening for the crashing of a desparate and hurt deer. And, Sometimes...yes...I get lucky and think I hear it go down.
That's always a nice sound...if it turns out to be true anyway.