Some great advice so far. I’ll be in the same boat in a couple years, and have been giving this quite a bit of thought, as well.
... I’m not sure what you’re budget is, but I would highly recommend putting a suppressor on whatever you get her. They tame recoil nearly as well as a brake, and obviously cut noise, etc. significantly. This makes shooting fun, and reduces the likelihood of developing bad habits. (I’ve had several kids and women initially hesitant to shoot my 6.5 saum, but after they shoot that first round, they want to keep shooting).
.... as for the rifle and cartridge, (nothing wrong with a 7-08) personally, I’ll be getting my daughter in a tikka in 6.5 prc, cut down to 20” with a suppressor. This will run 140’s over 3,000 fps, be very manageable (both handling and shooting), and will allow her to grow in her abilities if she decides to take up long range plinking, etc, and will be a gun that she will use for life.