You might want to look into electronics/woodworking/rock climbing/astrophotography/playing an instrument/ice sculpture/welding/open-source research and investigation/archery/scuba diving/optics and lasers—insert any relevant option here that features history, creativity, technical skills, and mentorships—as a creative and intellectual activity. It's a nice combination of history, creativity, technical work, and learning from/with adults. Also, it wouldn’t be so immediately on-the-nose misogynistic as something like “sewing and fashion” to suggest for someone whose only known traits are that she’s a thirteen-year old girl.