However, would you rather have a stale donut or no donut at all?
Still, better half a donut than none at all...
Depends on how hungry I am!
Unfortunately it sounds like no donut at all isn't a possibility in your case unless you are willing to pointedly bow at somebody else for every technique (which is always an option, but a hard one). You're in a pretty hard spot. Have you asked your sensei what is a good way to handle it?