I have outfitted my spouse and two teenage daughters. All 3 have settled on a Savage model 99F, two in .300 savage, the other in .308 that I will load light for her. They like them because there light and fit them well. They claim they are a classy looking gun (I agree). They have shot almost every gun I have owned or traded and they refuse to give these ones back to me. On the downside, they do have to cycle the rounds through the chamber when they unload but they state they really like the lever safety location. I also have two modified swedes in 6.5 with new stocks, triggers, safeties etc. but although they like to shoot them, they prefer the levers.
But, if I were doing it from scratch or for safety, ease of loading and suitability for easy scope mounting and view, and taking into account, what you would be shooting (my daughters only big game hunt at this point) I would also look at the Savage with a removeable mag or again the Marlin XS7 in the lower price range. A Remington model 7, Browning Micro or any "youth" bolt in .243, 25-06, 260, 7mm-08 will all work, if she likes bolt actions. These show up on the EE from time to time, often with a scope or rings and bases at a much lower than new cost.
I found the big, or harder issue was to find a gun style they liked for fit and feel and if they could shoot good with it. I think my associated females like the 99's because they shoot very well on targets at the range (my wife got two whitetails with her's this year) and they build up self confidence.
Trust me, its well worth getting them a gun "they" like, as I have a great time watching them shoot and hunt (then there's also more brass for me to load and my wife doesnt question every EMT I send out to buy gear and equipment). Just my .02 cents