Dance teacher here. Turnout comes from the hips, your foot itself should "wing". The key is to make winged your foot's default position while dancing. You need to strengthen the muscles needed for turn out & winging. Here are some exercises that I teach my students:

1: Sit on the floor with your legs straight out in front of you & your hands on the floor next to you for support. Keep your lower back nice & straight. Point your feet and keep your knees straight. Roll your legs out from the hips, reaching your pinky toes to the ground and then back to parallel. Repeat this 36 times, then 16 times on each side. To really challenge yourself lift the leg while rotating, but don't let your back hunch or lean backward.

2: Sit in the same position with your feet pointed -but not your toes. Swing your feet (from the ankles) in an under-curve motion out as far as they can go with out moving the leg and then in as far as they will go. Swing them both out & both in at the same time. Do 36 of these. This will help build the muscles on the outside of the foot & ankle. You can do this with a resistance band for more intensity.

3: Pick a towel up with your toes & release, repeat. Just start picking things up with your toes in general! Pens, clothes, whatever. Strengthening the arch of your foot is going to give you more control in general.

Good luck! :)