Chu bai
I'm still trying to figure out what our jellyfish is a God of (he barely acts like Cthulhu so the novels name is misleading). There's already a God of redemption and one of justice so maybe he is a God of Rehabilitation?
Its not that he's a god of something, he does not get power from being to god of a specific thing. Being a god of something is a title that means that your either the best or one of the best in that category. He is not the god of something because he chooses not to be, but might choose to be the god of ice(as mentioned before).
Stupid/dumb moral dilemma? what dilemma, not murdering people indiscriminately is a dilemma? I think he is doing great, and these types of chapters are what makes this book IMO since he is a GOD he is obviously going to push his ideals on mortals. I wouldn't expect much else in his dealings with mortals other than that and converting people, helping his followers. As far as combat or anything else goes you probably aren't going to find anything satisfying till he is dealing with other Gods.