Whoops - I didn't realize you were probably talking about the "handgun" version of the G2. My original response, below, is about the carbine version. A friend has a G2 carbine and at least one original Contender in handgun configuration. He shot mostly .44 magnum out of the original Contender (16" barrel), and heavy .44 mag loads were definitely capable of inducing a flinch in some people. I imagine any rifle-caliber cartridge shot out of the Contender handgun would have very heavy perceived recoil. If your wife is comfortable with heavy magnum handgun loads, then the Contender in a rifle-caliber is a possibility, although it may well be too much. Handgun hunting with rifle-caliber cartridges is definitely an expert's game, though.
ORIGINAL REPONSE:
I have a G2 with a .30-30 barrel and 2-7x scope that I'll be using for hogs and West Coast blacktail deer (smaller than whitetails). If I thought I'd be hunting elk or caribou I'd have gotten an Encore, since the G2 is limited to low-pressure, medium-range, .30-30-class cartridges. You can get Contender barrels in .375 JDJ and .45-70, but these are heavy-recoiling, short-range cartidges. The Contender is fine for deer, but if you're going for elk, the Encore would be a better choice.
Other than that, the Contender is nice to carry because it's light. And even though the rifle is light, the recoil isn't going to be bad (not counting .375 JDJ and .45-70 catridges) because you're going to be shooting a 6mm, 7mm or .30-30. For casual target shooting and small to medium game hunting, the Contender is a good choice. Don't forget that you can also buy .28 gauge barrels for the Contender for rabbits and game birds, as well as rimfire barrels.