Sybill Trelawney is the other female professor we encounter. She teaches divination, a subject that includes tea-leaf reading, palmistry, crystal gazing — all the intuitive arts commonly associated with female practitioners. Trelawney is a misty, dreamy, dewy charlatan, whose “clairvoyant vibrations” are the subject of constant scorn and ridicule. The only time she makes an accurate prediction, she doesn’t even know it because she goes into a stupor. Because most of her students and all of her colleagues dismiss her, the entire intuitive tradition of fortune-telling, a female domain, is discredited.
This is a valid criticism. In fact, the very symbol of wizardry is the phallic wand, while the cup, a feminine tool, is pretty much ignored. Women, though assigned the needlessly gendered-name "witches" do get to wield wands and perform "wizardly" magic aside their male peers.