Any good magazine fed 22 lr that can easily accept target sights will work well enough . Just don't start her off with 10 lb rifle with a full adult sized stock . Lots of older marlins to be found that you can cut down the stock in increments till you get to what fits her now as she grows add it back . .

Another option would be an AR type of 22lr rifle with an adjustable stock , add a set of sights and go practice .