Lee;
I see you're in New Mexico & can appreciate that ranges with rentals might not be in the immediate area
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Is this indeed going to be her first shooting experience? If so, starting with the .22 rimfires is the route I'd suggest. That's not to say that stepping up can't be done in fairly short order, but start with the .22 to teach safety & the basics.
My daughter started a little younger. At 15, she was shooting .357 magnum & popping 1 gal milk jugs at 50 yards with scary regularity. She could also shoot, not for fun mind you, full combat .357 loads out of a Ruger SP101 & hit center chest at 10 yards, all 5 rapid fire. In comparison, the 9mm is a pussycat. But, everybody is different & perception is a great influence to the beginning shooter.
In other words, if you treat handing her a 9mm as a big deal, trepidation showing, she'll treat it as a scary thing. But, if you tell her this is a logical step up from .22 and don't make a big deal of it, neither will she. As long as it's not in some sub-micro platform that'll rock her world.
Personally, I think the CZ75/Kadet idea is a great one.
900F