I doubt that, seeing as when I was fresh out of the guild, I went and "sold" some mercs to the Chapel of Skorm. Anyways, I got the bow

and by that time, I was fully evil, and I had the fully grown horns, flies, red for, the works... But my renown was still next to nothing. I very seriously doubt that renown affect the visible stuff from your alignment.
And don't let your alignment bar fool you! I was fully evil, JOB's mask, and I donated lots of cash to the Temple of Avo, full good, halo and butterflies and such, but my bar was still fully evil
