rule by a god or gods; body of divine rulers
• (n.) Government by God; divine sovereignty; theocracy.
The'ar·chy noun [ Greek ... god + - archy : confer Greek ... the supreme deity.] Government by God; divine sovereignty; theocracy. 
thearchy 1. The rule or government of God or of a god; a theocracy. 2. An order or system of deities.3. A community that is ruled by priests; mostly the rule of priests.