Let me stop you right there: a ray can't emanate from a black hole, that's why it's a black hole, not even zero-mass light-speed photons can get out.

We know about black holes rotating, because we can detect frame dragging around them, which means whatever mass is in there, has an average rotation.

The thing is, an absolute "singularity" doesn't even make sense for a black hole. From what we know of how they get formed, they're just a bunch of star that gets compressed so tight that its own gravity doesn't let anything escape... but that doesn't mean every particle goes straight to the center of mass. Forming a singularity would require the initial star core to be kind of perfectly symmetrical, at absolute rest and 0K, which definitely is not the case. What's more likely, is that at the center of a black hole, there is a star worth of particles "orbiting" the center of mass at speeds close to the speed of light, sometimes bumping into each other, but since not even mass-less photons can escape the black hole, nothing can get bumped out like it would in normal stars, atmospheres, and so on.

From a mathematical point of view it makes sense to say there is a "singularity", since for most purposes it behaves like one... but it really isn't one. It's also easier to think of the event horizon to be "empty" inside... but it also really is not, it's going to be full of recently trapped particles on decaying orbits, with a lot of them being still right on the other side of the event horizon (more particles will be entering at a shallower than a steeper angle).

Also, being an actual singularity would make evaporation due to Hawking radiation kind of impossible.