I like your daughter already!
YES!
Girls shoot bows, indeed they have a very ancient toehold in the sport. Aside from guys in cave drawings, one of the oldest images I know is of the goddess Diana (Artemis), with her hound and bow. Here, instead of a hunting dog, she is holding the antler of a deer, symbolizing her dominion of the Chase.
Archery is shared by women around the world, and has been traditionally regarded as a "girls' sport" in schools.
This ancient lady exhibits the Parthian Shot.
Japanese women:
Korean women shooting:
This is my friend Suzanne, and her very first bullseye, using my 25 pound Lady Kodiak.
So, not only do women OWN archery, every woman should decide for herself what she would like to do, as part of who she is, whether other women do it or not.
It is nice to have numbers in support, but also nice to have the courage to decide for oneself what could be of value in one's life.
I say hooray for your daughter!
Killdeer