theomancy
(ˈθiːəʊmænsɪ) n (Other Non-Christian Religions) divination or prophecy by an oracle or by people directly inspired by a god
[C17: from theo- + -mancy]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014