All kids are different so you have to make the final assessment.

I grew up around guns and so are my kids. I got my first real gun at the age of 11. A 12 gague M1300. Before that I used my grandfathers guns any time we went hunting and shooting and I was shooting bb guns and pellet guns since I could walk. I bought my son his first gun when he was 7 or 8 (my memory is lacking[8D]). His was a .410/ .22 combo. He too was shooting bb guns and pellet guns since he could walk

It has been my experience that kids that have been and are around guns since a very early age do not have that desire to just go play with them for no reason. My son and daughter both love guns but from the time they could walk they have been shooting and hunting with me so they have a good respect for them and what they can do but do not have the unhealthy type of fascination with them that too many kids today do.

IMO it is a LACK of access and famaliarity of firearms that cause most of the problems with firearms and kids today. Not the other way around.

Personally I would go ahead and buy her that first .22. Just keep it locked up and let her shoot as much as possible.