If the hit is low enough that he has herniated guts coming out, hecouldbe real sick but may not be dead in the morning. I dont know NY law but if Sunday hunting is legal, take your bow and move slowly. He might be barely able to get up. Be ready to give him another dose!

A word of encouragement, One of my best bucks was just such a hit. An unseen branch (last light) deflected my shot. I was only 40 yards from the edge of a steep hill that he went over. I had heard the classic "crash" so I peeked over the hill in time to see him cross a road at the bottom of the hill. We found him stone dead but warm the next morning about 40 yards past where he crossed the road.