It appears her hips are turning only to get out of the way of her hands. She should coil into her back hip and then use her lower back muscles to "whip" her torso around, unwinding from the bottom up. Her core muscles are a large muscle group that should be engaged.
The Walkthrough/Happy Gilmore would be a great drill to have her learn this:
Notice how the hips are used in this clip. Your DD would benefit greatly from doing it like the kid in this clip. Good luck!
Looks like a 'attack opposite' drill swing. Which isn't a bad thing. I would use a tee. I would place the tee facing a fence or net. I would have to tee about 3 or 4 feet away from the fence. I would hit into the fence straight line drives. I would adjust her swing from there depending on where the ball hits into the fence.
I like to see more aggression from a swing. Is she holding back trying to make contact? I really like to see hitters getting after it and she looks like she is leaving a lot of power on the table. Forget mechanics for a minute, first and foremost a hitter needs to want to rip the cover off the ball. I see a more passive approach here.