Take her to a gun store and have her feel as many different types as possible.
A rifle stock that fits her frame is critical and having a balanced feel is important also, try rifles with scopes on them if she is wanting optics as this adds to weight.
A poor fitting rifle in any chambering will give her a bad experience and possible "learned" apprehension from recoil.Also important to wear clothing similar to what she will be hunting in.
A well fitting, well balanced comfortable rifle will have recoil but it will be perceived and felt as much less than a cumbersome fit.
As for chambering , anything .243 up to .308 would work fine, short action will save a some weight also.If larger than deer may be on the ticket a .260 would be a good start as well as 7-08 however fewer manufacturers are chambering 260 but 7-08 is still largely available.
Optics- something with long eye relief and moderate magnification so she can use the scope with as much ease as possible and not become frustrated.A fixed 4 or 6 if she doesn't want to fumble with adjusting , 2-7 for variable would also work if she feels comfortable with the extra option and will still give good field of view and fairly easy to acquire a sight picture.
Just to stress again, fit and comfort before chambering. IMO of course.
Remington Model 7 does seem to be a popular choice.