I'm deeply grateful that my parents put me through music lessons. It's something that continues to reward me, decades later, like math, as a source of challenge and enjoyment. I no longer play the instruments that I learned as a kid, but I perform a few times a month with local groups.

There's a lot of controversy over whether kids should be "pushed" or "forced" to learn music. My observation (my own childhood and my kids) is that some kids will push back on anything that they're asked to do, even if it's something that they genuinely want to continue doing.

I'm lucky, and delighted, that music "took" with my kids. They're teenagers now, and actually like classical music.

If possible, I suggest looking for a program where your daughter can play in ensembles, group lessons, recitals, etc. For instance Suzuki violin programs involve the youngest kids in recitals, and there are people teaching guitar in the same way. This will bring out yet another of the benefits of music, namely the interaction with other people in a cohesive activity. And performing, in and of itself, is a beneficial skill. A lot of what I do in professional life is akin to performance.