If your daughter is really serious about 10m target shooting, the ultimate destination is a PCP pistol. The Hammerli AP20 is lightweight, multi-adjustable and will take a Walther 3-axis wooden grip or a Rink custom grip at a later date. The compact pistols from Morini, Steyr, Benelli and Feinwerkbau are all serious match pistols and are lighter in weight, more suitable for junior shooters.
In terms of CO2, it is worth looking at Brno Aeron pistols as they are of alloy construction rather than the steel of the Tau-7 and are subsequently lighter.
Most springers or SSP demand a reasonable cocking effort which takes its toll during a 60 shot match; even Feinwerkbau 65, 80, 100 and 103 models can be hard work.
It would be worth making contact with a local club for advice, coaching and the opportunity to try different pistols.
I hope this is useful; please pm if you want details of the pistols I have mentioned - I will pass on links to you.
ATB
Mike.