Why let him kill something that small? It just teaches kids its OK to shoot anything that moves as long as it has antlers no matter how small it is. I was able to shoot a 173 point 7 point with a nice thick rack only 2 weeks into the season and have missed a big 8 and a 10 and let another 8 walk so its not like you have to waste 2-3 months of the season just to see a big deer. Hunting is about patience and also quality management of your deer. I didnt kill my first buck until I was 20 because I was taught to let anything 6 points and under walk but when I finally did it was a solid 8 pointer and well worth the wait.
Id rather wait a few years and say my first deer was a giant than have all my friends laugh at me cause I killed a 2 pointer. Just ask my brother because his first buck was about the sieze of the one n that pic and my parents actually mounted it and hung it at a farm we use to own with 5 other families. Every weekend we would have 8-9 friends over to hunt and they all laughed at him and gave him hell because of how small it was. Probably didnt help matters by mounting it in the TV/game room for everyone to see right next to my 8 pointer.