I live in Jacksonville, Florida and we do get a couple hard freezes here each winter, so I grow my plumeria in pots in the ground. I lift the pots in the winter and keep them in the garage. This past winter, I lifted them in plenty of time and kept them in the garage where it never reached freezing. I never watered them for the entire 6 weeks they were in the garage - not even once. Nevertheless, I still had one that developed rot at the tip. I still don't know why or how. I'm baffled. But anyway, I cut off the rotten part low enough to make sure I had pure white flesh and no rot was left. Wanted to show photos of the new growth to any newbies that don't know what to expect after that. It is always exciting to see that the plant is still alive and going to make it.
By the way, like pinching back a plant to promote bushiness, cutting back is also a way to promote multilple tips (branches). It looks like I will have either three or four new tips from this one. I will post photos again in a few weeks to show progress.