Except the vet wasn't nearly as concerned about it as I was. In fact, she didn't even think I needed to bring him in for it. But mommy guilt is a powerful thing. I roused early today and took him to the vet at 7 a.m., as soon as they opened. The vet cleaned his eye and added some ointment, then sent me on my way with more ointment. Mommy guilt sort of assuaged.
Napoleon is extra clingy tonight, so I'm off to make nice so he won't plot my death in revenge.