In my expirience, if it's not dead in an hour, it's not dead enough it will ever be found in edible condition. If it's laying down where you can see it, stay in the tree with an arrow nocked ready to shoot again if it get's up and watch it for 10 minutes or so. If it's out of sight, use the time to go get your gutting gear and take any thing you won't need back to the truck. A gun, treestand, food, bow arrows and then a dead deer all at once is a hassle to drag through the woods and you need to stay occupied any way.
Very well said!