No, no, no. Do not look at either of those Mathew's bows for your wife.

Genesis-kids bow, really designed for little kids, none of the good qualities that other Mathews bows have, junk compared to other Mathews.

Sportsman-not designed for "general hunting" as you claim, designed for bowfishing and upland bird hunting w/a bow, it has no letoff. And like all of Mathew's bows (except Genesis), it has a minimum draw weight of 40lbs (adjustable down 10lbs)

So, you get her the FX, no questions asked. It goes for $300-$400, comes in draw lengths of 23-31 inches, has draw weights of 40-70 lbs (adjustable down 10 lbs), has a large brace height at 7.5 inches,weighs only 3.3 lbs and, maxed out, will clock in at 308 fps. Plus, has much better resale value than the Genesis. IMNSHO, the absolute best bow for the money on the market.

40 lbs really isn't much. If you start her at 30lbs, it will only take time and practice until she can comfortably pull 40 lbs. My wife started out a couple of years ago at 35 lbs on a Mathews Feather Light. By shooting a lot, and doing some light exercises with 10lb dumbells we bought for her, she now pulls 52lbs on an FX. It took her less than a season to move up that far in draw weight. Just have to want to do it.