Rendered environment map is misaligned to World I modeled a sun, placed it up in the sky of my scene, and rendered an HDR image to use as an environment map.

The problem is that when I then make a World material and load this image into the Environment Texture node it is totally out of alignment with where the sun object is in my sky.

My camera is in the World center, and I've tried various rotation settings, including clearing its rotation. No luck.
I've also tried to shift the alignment of the Environment Texture node's image via its Vector input, but that caused nothing to show up at all.
Any ideas what I need to do differently?
To transform an environment texture you'll want to manipulate the Generated coordinates: