Bringing about change in accordance to will via a god. Prayer and sacrifice are the usual methods. 

The efficacy of TheoMancy is questionable. Better techniques include hard work (ErgoMancy) and planning. 

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Strange, I interpreted TheoMancy as employing and manipulating religion(s) to achieve one's ends. Scientology and "right-wing" UnitedStates politicians who scream about how capital-C-Christian they are at every opportunity are good examples. 

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Is religious theomancy not the same as mid- and low-level managers who stick to a certain belief about "management" even though their decisions based on this "faith" produce crappy results?