If it were me... because she did not grow up with guns, I think I would take the girl shooting multiple times for training for several months first and see how well she does.... Then maybe let her have the gun only if she takes it seriously and proves she understands gun safety.
Both of my daughters had their guns in college when they lived in apartments but not during first year when living in a dorm. Both eventually got their CCW permits (not needed anymore here in Ohio). Both along with their husbands, still own multiple firearms.
That said... they both grew up shooting varmints and for fun on our rural property and each got their own .22 rifles when about 11 and 12. I grew up the same way.
I think this pic is from about 15 years ago when they were in college and they were home practicing for doing weekly fun shoot competitions at the local gun range.
