A god has sia -- complete apprehension of Their domain. They are coextensive with it, understand it fully, and may breathe through it and with it at will.
A god is elemental, by which I mean a god is a pure essence, exactly and precisely what it is, not a composite of other things. That pure essence is frequently so precise that we (living in a composite world) have to approach it with a wide variety of cultic titles and impressions, some of which appear superficially contradictory, but each reconciliation and understanding of how these things are the same thing leads to a deeper understanding of the Mystery of the god.
That definitly gives me something to think about.
Personally, I try not to 'define' the Divine. I think, we as humans, are not currently capable of understanding or defining what the Divine is. Now saying that, I do think it is possible to have a great relationship with the Divine without really understanding what or who, he, she, it, they are.