You might want to post this on the music major forum, which can be helpful.
Do you have a master’s? Are there particular teachers you were looking for?
I think of UMichigan as fairly progressive musically.
If you don’t have a master’s, 6 years isn’t long and even if you do, it seems like a normal length of time.
Are you interested in teaching and will you be a TA right away?
Do McGill and UMichigan have gender studies programs? Are your interests in voice and gender studies connected in some way? Sounds like a good area for a dissertation regardless.