A gut shot deer is 100% going to die. Many times they will be near water because of fever. If you have a pond or creek near by take a close look. I would listen for coyotes to howl at daylight or dark as see where they are. They will find a kill and come together and feed on it. I saw them eat a full grown doe overnight once. It sounded like a lot of them when they started howling and they will finish it fast if so. If its been several days it may be eaten already.