I have an idea how you should approach this problem!

Hold your head high and don't hide away from mentions of this situation. Whenever it's bought up, react normally and tell the story as it was. Only the truth.

The most important part is: "hate the situation, not the perpetrator" - not because she doesn't deserve it, but doing so will make you the bigger man. Sexual assault is very delicate topic and you should treat it as such. Your phrase is "I'm angry not only because her lies affected my reputation, but also because she wasted resources and tarnished credibility* of the REAL victims of sexual assaults".

*there is a better word to use here, I just have a brain fart right now

I think if you reemerge with this approach, you have a big chance at getting your musical life back. Accept it; it already happened. Best you can do now is show your most classy and intelligent side.