Final answer:
The wife's belief in shared delusions with her husband about divine communication suggests a diagnosis of Delusional disorder, consistent with the shared psychotic disorder Folie à deux.
Step-by-step explanation:
The condition of the man's wife, who believes that God is communicating with her husband and has been helping him steal satellite dishes, can best be described as Delusional disorder. This psychiatric condition involves the presence of one or more delusions that persist for at least one month, and the affected individual may otherwise show no obvious odd or bizarre behavior. The shared delusional beliefs with her husband, particularly without any personal history of delusions or psychotic symptoms before this shared belief, points to Delusional disorder, specifically Folie à deux or shared psychotic disorder.