I would opt for a Tikka T1.
Then put it in a chassis that has an adjustable stock, as the chassis' that fit the larger guns will work for the rimfires. This way she has a gun that will properly fit her and is not struggling as so many young shooters do, then lose interest. Then as she grows older, you can adjust the chassis to fit her growing size, and eventually put the full size stock back on it, or keep the chassis on if they enjoy it the way it is.
The Tikka rimfires are extremely accurate much like their centerfire versions.
