Then by far the acoustic set is the way to go, especially to learn technique, but it will drive you crazy unless you also fork over some money for some lessons. It will be very loud. Buy some earplugs for the rest of the family.
It will be the cheapest route to see if she is interested or not and if she has any talent.
Electronic sets are not worth buying unless you get one of the two better brands already mentioned and they start in over $1,500. Plus you have to master the presets.
A lot of acoustic drummers these days are going both routes by installing electronic "triggers" in their acoustic sets, but that is after they know how to drum well and want the versatility.