Re: .243 or 7mm-08??
my $0.02 worth:
Recoil includes bullet weight as part of the equation. If you reload, get her the 7mm-08, load some 110 or 120 gr bullets at about 2600 fps. It will have the same 'felt' recoil as the 243 with factory ammo. Then, if she decides to step up and go after larger game at longer distances, you can develop a load to match the circumstances.
Yes, I know Kit Carson shot a 7x7 bull elk at 600 yds with his trusty 243, but most people aren't him.