Going back and forth on this decision. Know it probably doesn't matter as long as she can shoot it well. What wold you do and why?
Based on the above and what's available on the market...
there are plenty of youth rifles, from various manufacturers in 243, which is as effective as a 6.5 or 7mm, none magnum or based on a 308 sized case...
Factory ammo would be more available, readily about anywhere for the 243....
the 6.5 Creed and the 7/08 are hit and miss...
for a handloader, I'd got with whatever rifle you or your young shooter would like best...