A gut shot deer is a dead deer. The problem is, finding it.

There probably won't be much of a blood trail, so you will need to rely on tracks, turned up leaves and ground disturbances.

A gut shot deer will lay down quickly. If not disturbed it won't go far. It will lay down for a while, get up and walk a bit, then lay down again. It may bed down several times.

It is real uncomfortable and it will take it several hours to die.

If there is water nearby, it may head in that direction.

So what is the terrain like? Thick woods or open?