theomancy

from The Collaborative International Dictionary of English v.0.48

Theomancy \The"o*man`cy\, n. [Gr. ? a god + -mancy: cf. F.
   th['e]omancie, Gr. ? a spirit of prophecy,.]
   A kind of divination drawn from the responses of oracles
   among heathen nations.
   [1913 Webster] Theopathetic