I've had them run back, the way they were headed, run straight at me - you just never know. This morning I had one do something I had never witnessed before.
A buck eased out of some thick stuff into a shooting lane I cleared in the late summer. He was walking at a medium pace and I knew that I could get a shot if I didn't hesitate. I took the shot and he bolted straight ahead into more thick stuff. I felt like that I had hit him and thought that I would wait a bit and go check for blood. Took my time, reloaded, and just sat for a couple of minutes. All of a sudden the buck came crashing out of the brush to the spot where I had shot at him, ran headlong back into the thick stuff where I had first seen him, jumped behind a tree and fell over and started kicking up leaves and dirt, and then all was still and quiet.
I guess that you could say he went in both directions.
I have no idea why he suddenly ran back after initially running forward. I followed the blood trail to see how far he went before turning back - about 20-30 yards. I found a spot where he had apparently stopped because there was lots of blood and nothing beyond. I suppose he was just hurt and dying and did the instinctive thing for a deer to do - run like heck.