If you can get her within 100 - 150 yards, you can't go wrong with the tried and true 30-30WIN. A 170 gr bullet hasthe recoilenergy of just 11 foot pounds! Add a gel type recoil pad and BAM! Dead animal.
That is less recoil than the .308, 7mm-08, and others mentioned.
As an example, a 30-06 8lb. rifle shooting a 180 gr bullet has a recoil of 17.6 foot pounds. Interesting stuff @ http://www.chuckhawks.com/recoil_table.htm
There are scopes available for the Model 94's also.