The Greek verb exaiteomai (ἐξαιτέομαι) means to demand or to request urgently for oneself. The ex- prefix intensifies the asking — it carries the sense of demanding that something be surrendered. It appears once in the New Testament in an unforgettable context.
Jesus tells Peter: "Simon, Simon, behold, Satan hath desired (exetesato) to have you, that he may sift you as wheat" (Luke 22:31). Satan is a relentless accuser who petitions for believers to be handed over for testing — the same dynamic as Job 1–2. But Jesus does not simply grant the request unchecked: He intercedes for Peter. Satan demands the saints; Christ intercedes for them (Romans 8:34; Hebrews 7:25).