If you think its gut shot your best bet will be to leave it! Overnite if possible. Not sure how cool your temps. get down south by you. If it stays in the 30's you should be alright.
If you jump a gut shot deer your chances of finding it again are slim. All your doing then is just pushing it. I've heard of gut shot deer being jumped 20+ hours later only to lose it. Try looking first thing in the morning where you left off today. Good Luck!