A woman's rifle
I think that unless you reload you will want to stay with the short action calibers. A 7mm08 or a 243,260,308 should fit the bill. Of those the 243 or 260 are going to kick the least. Keep the bullet weight down for her 140gr or less in 7mm08, 150gr in 308, 100gr in 243, and I think it is also 140gr in the 260. One thing to think about is rifle fit, her arms will be a couple of inches shorter then yours so try to locate one of the youth models that have the shorter stocks. One consideration that I always tell someone looking for a rifle is make sure the trigger is clean. A cheaper bolt action will usually have a much nicer trigger than other traditional actions. Also a shorter barrel 20inches or less will make the rifle easier for her to handle and carry. Make sure that you put a sling on the rifle and just get her out the range and have fun. Don't be supprised if she outshoots you.