I would try out a 270. It's enough for an elk, but should be much for managable for a lady. Plus, there's lots of loads available.

You could also go for the 7mm Rem Mag or 300 Win Mag, andbuy Remington Managed Recoil ammo, and I think Federal makes recoil ammo as well. It does decrease the recoil, but you may have to special order it in.