Non-coercive = embracing others exactly the way they are, and they can change if they want to and they don’t have to. Coercive = trying to control, fix or change others against their will.
If you think your child needs you, maybe experiment, tentatively trying different ways of being there for her and making sure she knows you are there for her and want to do what she wants and not what she does not want.
If my child wanted to drive, I would find a way to teach her to drive safely and legally, such as on the private farmland of a friend.
Does the proposed solution spark joy? Is everyone beaming? Are our eyes all shining? Do you see delight? Joy? Animation? Skipping? The odd cartwheel, perhaps? Is it a “YES!!!!” all round? That suggests you have created a real solution.