Well, you might be able to make her continue taking the class, or make her hate it, or make her miserable, or make her any number of things, but making her like it? Probably not going to happen. Ever. With anyone.
Why are you enrolling a child who (according to your profile) isn't even in kindergarten yet? Being in a controlled class environment involves following directions, cooperating as part of a team, and knowing how to respond to a teacher. Then, with swimming and martial arts and other things like gymnastics, you also have coordinated physical movements that must be done with precision, and safety issues, and other elements that can be quite complicated.
A very young child, especially one who hasn't even gone to school, is most often not capable of taking a class like that. Sure, some kids are. Some kids can tap dance when they're two. There are always exceptions.
If you're putting your child in classes in order to achieve something: teaching her skills, or having her master some complicated thing in order to excel at it so she can be on a team when she's in high school and get scholarships, or so that she'll get some exercise, or learn discipline, then I suggest you're going about it the wrong way. You're going to de-motivate her. It sounds like she loves art, which at that age probably involves finger paints and pretty colors.
Why not let her be a kid, and create swirly pictures of nothing (but that make her happy), and play with her and let her skip and run in a playground with you. The only thing you should be forcing at this age are some safety rules, like holding mommy's hand when we cross the street, and not touching the hot stove, and not picking up daddy's phone, and learning to say please and thank you. Don't force restrictive classes.