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You're investing in her education so she becomes a happy resilient adult who's not afraid to try new things and who is interested in and enthusiastic about the world. Give me a happy relaxed jazz musician over a miserable, stressed out afraid to fail Nobel laureate any day.
I second that - and at that age I wouldn't be worried yet. :-) Also, the comforting(ish) thing is that it's possible to have a career and play jazz on the side but less so to be a jazz musician and be, for example, a doctor on the side -- she'll find a way to manage both, I'm sure. I know people who've done it to different extents, one just needs determination. She'll always have music and she'll always have her education - she'll just choose what she's making a living from. Although she could probably make quite a bit with weekend gigs....