Gut shot or liver shot deer will find water if they live long enough. Check all the waterholes within 200 yards of where you last saw it. Look under any and all the brush around the entire body of water. As long as it wasn't pushed it will lay down as soon as it doesn't feel threaten. As soon as dehydration sets in it will find water..no question and it won't take long.

It is their natural born instinct!