If she's asking for a scope, and concerned about accuracy, I'd say that's a good thing. To keep her involved and interested, I think a scope would be a good investment.
As far as a $65 Scope, I don't want to seem like a cheap bastard, but I got like a $30-$35 scope on my 10/22, and me and my son both can pop a squirrels eyeball out at 50 yards or the B on a Budweiser can. At 100 yards we can still hit the can, maybe not the B, but we can hit it every time. I just don't see the need to spend big money on a .22 scope since they don't have a strong recoil to knock them out of the adjustment. I'm fairly certain it's a Cheap Walmart Simmons scope I bought many years ago. I don't see it now, look like it went up $10 to like $35 or $39 but I got my son one of the $26 Barska Scopes with .97 cent delivery to the house from Wally World, and I"m pretty impressed with it so far. We have not dialed it in to 100 yards yet since we haven't had .22 ammo when we went shooting, but i have a feeling it's a good scope too. Just so long as it's something with a 1in tube and not one of those BB, Air Soft .22 scopes, it should work good on a .22. Reason I go with 1in scope tube, is I use See Thru Scope Rings on the .22's. Either Weaver or Leupolds. Set the Irons for 50yards, and the Scope for 100 yards is the norm for us and it works well.