The better question is what can't you hunt with it. The 7mm Rem Mag is a very good round for everything in North America with the possible exception of the big bears. If you handload it is even better.
It's on the heavy side for antelope, good for deer sized game, elk, moose, black bear...pretty much everything except for big bears if you shoot the right bullets for the game you're shooting.
I've had a Savage 7 mm mag for about 20 years and have been reloading for it for as long. Never had any problems with it. I have harvested deer, elk and moose with it. You will enjoy your new piece.