The Divinity stat will increase depending on your actions and how others perceive you. There are a few unavoidable events that will raise that stat but there’s always going to be an option to try level with people and avoid attention. It is possible to lose points along the way too.
I’ve got a character arc planned for those who prefer mortality, as well as a few endings where you can denounce life as a god altogether! Some of the romance routes are motivation for this too.