The answer is the same as before. It depends on the bullet that is loaded.
If an individual were using military ammunition, then that ammunition generally is made very solidly and is not designed to deform or expand on impact. It would go through a deer, largely unchanged. It would just make a hole in the deer the size of the projectile.
Some energy would be transferred from the bullet to the deer, which would cause tissue damage. In the case of a .50 BMG projectile striking a deer, it would almost certainly be fatal to the deer. The amount of damage to the deer would again depend on exactly where it hits and whether it hits a bone or goes through soft tissue, and so on. It's highly variable.