First of all, if it is more appropriate to study music or conservatory of music, you should be a trained person. Although we can't get into the four major conservatories of music, there are still many conservatories below that can still be admitted. As for tuition, location and other issues, you can compare them yourself.

don't worry if you've already attended. Actually, whether you can be a music teacher doesn't depend on what school you go to, but on two other points: one is whether you have a certain talent, and the other is whether you work hard enough. Music is everywhere, not only at school, but also at any time and place. If you can do this, and you can stick to your original intention when you encounter any difficulties, then I believe you will succeed.