My first choice IF YOU CAN FIND ONE would be the 250-3000 Savage. I bought my wife one when Remmington brought it out in the 700 classic several years ago. This is the lightest recoiling real rifle that I have ever seen. With 100 gr X bullets or nosler BT,s it drops deer like a bag of rocks. My next choice would be the 296 Rem. Same reason. I would not go bigger that a 308 until she gets used to shooting.
On the other hand. My friends wife is about 5 ft 8 inches tall and weighs about 110 lbs. She just took three head of Game including a Loin. Cape Buffalo and One of the big Antelope over in Africa using her husbands 416 Rem Mag. I have shot that gun. Its a pretty light weight Winchester rifle with a 2.5X4 power scope. The recoil is BRUTAL. I tried to chrograhp 20 loads for him. I got 18 of them shot and for the life of me I could not pull the trigger on the last two. My brain told my finger NO WAY man.