Short answer

No. In Islam, Satan rules nothing. Allah (﷾) alone runs the world. Satan can only whisper and tempt, and even that only as far as Allah (﷾) allows. The Qur'an says he "cannot harm them in the least, except as Allah permits" (58:10). On the Last Day Satan himself will say: "I had no authority over you except to call you" (14:22). The Bible agrees. Satan could not touch Job until God (﷾) allowed it (Job 1:12). And Jesus said "the prince of this world is judged" (John 16:11).

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