The Collaborative International Dictionary
Hagiarchy
Hagiarchy \Ha"gi*ar`chy\ (h[=a]"j[i^]*[aum]r`k[y^]), n. [Gr.
"a`gios sacred, holy + -archy.]
A sacred government; government by holy orders of men.
--Southey.
Douglas Harper's Etymology Dictionary
hagiarchy
"government by persons in holy orders," 1826; see hagiology + -archy. Not to be confused with hagiocracy "government by persons considered holy" (1846); -cracy.
Wiktionary
hagiarchy
n. A sacred government run by holy people.