The Broken Kingdoms by N.K. Jemisin (2010) Orbit

The second book in the Inheritance Trilogy – in the city of Shadows beneath the World Tree, Oree Shoth, a blind artist, who can see magic, takes in an apparent homeless man on impulse.  Someone is murdering godlings, a feat that should be impossible, as her homeless man can attest to – he dies, regularly, trying to do impossible things.  But he resurrects each time.  But the murdered godlings do not.  It does not take all that long in the story to figure out that her roommate is a fallen god, being punished for the way he treated his brother and for killing his sister.  But the murders continue, and the godlings refuse to ask their father for help.