I have shot 2 deer through the gut. Believe me, if you can, wait at least 12 hours or more. If you shot it this morning, I would probably wait until morning, if possible. I made the mistake on the first deer, and I tracked it with my brother in law. We jumped her up ( she had bedded down; as a gut shot deer will do) and I never saw her again. I waited with the second deer, had three buddies help me track her 24 hours later, and we found her.
My advice would be to wait. The deer will die, just be patient.