It is probably 100% likely that, if you file a motion to change custody, the judge will listen to what your daughter has to say. The judge will listen to your lawyer's argument and any testimony you give and will also listen to your ex's lawyer's argument and any testimony she gives. I'm not sure this is really what you meant to ask, however.
What seems to be absent from your post is why your daughter wants the change. As noted above, you could seek a custody change, but what would be your basis for seeking it? If the only answer is that it's what your daughter wants, but you don't know why she wants it, you would be wasting your time. A court isn't going to order a custody change without a change of circumstances that makes a custody change in the child's best interests. A 13-year old testifying that she now wants to live with dad isn't going to cut it unless she has a compelling justification for wanting the change, and it does not sound like you have any other basis for seeking a change.
So...why is it that your child wants the change? What's the change of circumstances that would warrant a custody change?
Well, she mostly just says that she wants to live here because she feels she does not see us enough. Us being myself, step mom and she has three siblings here.
Her other concerns are that #1 She has been in competitive gymnastics for about 4 years now and she is very good at it. She recently has lost interest in it and has expressed to her mother that she does not wish to be in it anymore. Her mom told her no, she has to continue or she has to join another sport or something. She then said she would like to be in theater instead but her mother also shut that down and told her she could not be in that because her older sister was and that was her "thing"
#2 she has made complaints that she is the sole person in charge of taking care of the dogs at her house. They have six dogs and only one is hers but she is in charge of everything to do with them.
#3 She has complained that she is always screaming at her and that she makes her clean her room (moms room, not daughters) and if she forgets things she comes home screaming at the top of her lungs at her.
#4 She has mentioned before she is scared of her (hence the reason why she never did bring up wanting to move) because she claims that her mother got into an argument with her older sister before (she is 16 but I believe this happened when she was around 14) and her mother throat punched her. Daughter did not witness this with her own eyes but the sister told her about it and apparently mom even thought it was okay to mention it to daughters old gymnastics coach.
I can not say if these allegations or correct or not and I do not even know if they are even valid enough. She has never been violent towards my daughter that I am aware of, I feel like if she was, she would tell me especially since she is now wanting to live with me.