What are the differences between a Satanic witch and a Wiccan Witch?

Wiccans don't believe in or worship God or Satan. They're pagans & worship Pagan gods such as the kind you learned about in your history or literature classes like the Greeks or Norse. Satanic witches like other Satanists worship the devil or the idea of a devil.

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A Witch is one who can bend will to h/h/x choosing through some means sometimes called magic. The primary difference is the label: Satanist, Wicca.

Secondary would be what we are willing to do to get what we want. What does the Satanist want more than knowledge, power, and pleasure? Not much. What does the Wiccan want but to help make the world better for herself, her home and village, her world? In answering those questions you will find the differences.

PS: The Wicca and the Satanist will often come to the same answers to the same questions through different paths, one through the heart, the other through the head. Together we can come up with a better answer, even if it means laughing at the problem.