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Perspicacia Tick
From Discworld & Pratchett Wiki
Miss Perspicacia Tick is a witch living in the lowlands. She earns her money by doing bits of medicine and misfortune-telling. She has also been seen as a teacher. Miss Tick does not look like an ordinary witch, because looking like a witch can be dangerous when walking among the uneducated. She does not wear magic jewellery nor carry a magic broom. However, she does wear a hat, which is a stealth hat and so only points when you press a secret switch. In case she does end up tied up and being thrown in a river somewhere, she has a degree in swimming from the Quirm College for Young Girls and a book on escapology.
In The Wee Free Men she discovers that Tiffany Aching is a witch and starts to teach her witchcraft.
