There really is no worse way to start off a rehearsal. With your heart metaphorically bleeding out on the ground.
The shame factor I mentioned in this video seems to be a "given" in the music world, and it's not really given much thought. But is it really a healthy way of seeing how we treat our instruments? Though I never became a professional flute technician myself, I've always had a keen interest in how flute maintenance and repair actually worked, so that I'd get a better idea of how to take care of my flute, do my best to prevent damage, and generally assess how bad any damage actually is on my flute.
Instead of wallowing in the shame, I think it's a lot more healthy and educational to learn about the "diagnoses" of your instrument damages and have a rough idea of how they're fixed. You are, after all, playing the instrument day in and day out. Why not learn more about it? It's almost like learning more about yourself.
Every flute specialist and technician has always said the same thing to me when I bring in a flute with a boo-boo:
So, guys, remember: It's not actually as big a deal as everyone makes it out to be.