In my opinion which doesn't mean much it's about placement. Unless your hunting elk or Moose.
Most seven year olds are kinda small for even a youth model centerfire rifle. If he can hit a paper plate with the gun he will be using at the distance he will be hunting he can kill a deer with it. If he will be shooting from a rest the gun size isn't a problem.
Have him shoot the gun is the only way to know for sure if he can handle it.
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