Well, my DD used to be completely ambidextrous which was a nightmare in gymnastics, lol. Once they caught that she was using both sides equally, they made a point to have her stick to what they deemed was her "better" side.
Cartwheels had been hilarious as she'd just randomly choose starting/ending legs (like she'd sometimes lunge with left foot forward and somehow also try to then land on left foot first).
Conveniently, her school did the same with writing, etc, at the same time (which I was unhappy about, but whatever).
She pretty much does everything "right handed" these days. I do think that, gymnastics-wise, moving to having one dominant side did help her "quality" of movement over time. With attention from coaches, she was able to "correct" her ambidexterity and she went from looking like newborn Bambi to looking like the beginnings of a gymnast pretty quickly.
Those who know better than me: When it comes to competing, does it matter that they remain dominant on one side on floor in compulsories? I thought yes, but maybe I'm remembering that wrong.
FWIW, my son is right-handed in all of life but gymnastics, where he's a lefty. He's learned himself to check with coaches that he's using the correct hands/legs for a lefty, especially as when they're young, as coaches often ask which hand they write with in determining how to teach the skills. Perhaps your DD could just ask if she's doing it right for a righty (or whatever)? That way you don't have to get involved. Otherwise, I usually assume that if it isn't sometching being corrected that it's not something coaches are concerned with yet.