I'm baffled by the idea of music competitions. If it exists where you are it probably exists in my area. But I have only heard of annual music 'tests' that students take these days and various music performances, shows, ensembles, and youth orchestra's. Admittedly it can be a competition to try out and make it into these ensembles. But what you win in the right to participate and perform not trophies or awards. If she is playing strings is there a youth orchestra she would like to challenge herself to get a spot in. Are their youth chamber music groups in your area?