I could feel the relations.

A good flavor addition would probably be epithets. "Father Time," "King of Heroes," etc.

Regarding whatever rule we're sure to break, perhaps god are forbidden from using their mortal children to interfere with mortal agendas.

A thought, perhaps not all of our gods are the same age. Some may be older, dreamed up by mortals of a bygone era, and others may be relatively young successors to forgotten or dead gods.