I have a child who was labeled with a learning disability. When she was 8, it was apparent. A good number of these kids 'grow out' of it. Now, she's in high school, does all of her own work, she stresses herself over grades, hands in all assignments without me nagging her, and isn't a worry. She's 'fallen on her butt' enough to know how to pick herself up again. Sometimes, 'gifted' kids don't have the resilience skill. Having a sport is good for kids with learning disabilities. There are times when class is a real downer. And, the new way of math (alot of word problems) . . .I would have had to home school her now (I have a 4th grader also, who can handle it). If she has a learning plan at school, and if your state has a scholarship that gives scholarships for private school for kids with these plans, please, please, please look into that option. I wish I would have done it sooner for my daughter. Private school, smaller classes, and focus on only the SAT (instead of those Common Core) has greatly helped her.
That being said, my older one was in dance during the elementary school years. Dance was/is harder for ADHD kids, than swimming. Because, the ballet class 'switches' up the dance steps at barre constantly. She would get very confused and frustrated, even blowing the choreography at performance which was ultra embarrassing because it as a group of dancers. It wasn't until I took a ballet class, that I felt her pain. The good thing about skating, is that once she learns a routine, she will have that routine for a year. And, she will be the only one on the ice and the judges/audience don't know her planned performance. So, you can 'make it up' to some extent if you forget. So, the choreography is NOT as confusing as dance. But, skating isn't as methodical as, say swimming, which I read was the perfect sport for ADHD kids. The perfect sport is the one that they like.
If she is showing up to class, practicing, and has a list, I'm sure her LTS coach is going to love her. There are kids who 'hog' the teacher because they love skating so much, that they want to really do it. There are other kids that don't like it, the smell of the rink, falling hurts alot, and are there because their parents think it's a cool sport. It's a hard sport, and if one isn't 'in love' with the sport . . . they might as well not waste their money. It sounds like she likes it. Keep it fun at her age. She is going to learn alot about life. Practicing, hard work, persistence, never giving up, self-reliance, and self-acceptance. it's a solo sport and you can't 'blame' anyone else after a bad performance, everything starts and stops with the skater.
The competitions are usually called, "Basic Skills." Ask the coach about getting her a little routine for her to practice all of her basic skills. All of us have skills that are easy and ones that are not. We have to practice our weaknesses twice as hard as what comes easy to be a balanced skater. Coaches tend to put about 10% in the program that is difficult for a skater to do. Doing programs makes skaters much, much, much better. And, it sounds like she has 'emotion' to put into her skating. Better to have a skater that emotes, than a cardboard jumping wonder.