I'd start your daughter learning to make something she likes to eat or something she can successfully share with friends.
A homemade dip, even have her search Ranch dip ingreds made from scratch instead of a package.
How to uniformly slice veggies for dip, make celery curls in ice water.
Make herbed baked pita chips instead of packaged corn chips.
Cookies.
As I recall, when Jr first wanted to learn some cooking skills, he disliked handling raw meat. If that is an issue, make sloppy joes, you can open a package without touching the ground beef. If this is not an issue, there's lots of things you can do with Chicken.
Favorite family pasta dish. Pasta is usually pretty forgiving, and she can check how the pasta cooks to al dente stage. Go ahead. Toss a noodle on the ceiling. when it sticks, it's done.
Have her be in charge of one course for dinner, a salad or main or dessert.
Patience and allow yourself to quit what you are doing when she's in the mood to learn. In school, all her time is structured. It's harder for a teenager to see this at home, even though it is. Meal planning, shopping, cooking. All to do to get ready and have on the table at dinner time. May not be seen as a structured sequence and seems more automatic for you, and needs to build upon itself for your daughter.
Um. try to have all cell phones off so there is less distraction.