R'hllor... my plan for Burny is simple. Consignment into obscurity. When, eventually, inevitably, we free everyone from slavery, raise standards of living, education and health everywhere five to tenfold and become the patron of specially selected deities known for a combination of fairness, honesty, justice and empathy, Gods like him will fall out of favor.
Sure, eventually with us supporting gasp not just one sect of heretics, but multiple, we'll get the fanatics taking shots at us. And then we'll burn them and or hang them from heart trees and feed their bloody entrails to saplings so we can hang more people from heart trees elsewhere.
Basically there's a lot of burning going on, and also a lot of hanging. Only when we burn people, we'll dedicate it to ourselves, of course.