witch
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witch
Witch.
The word wizard does not exactly have an opposite, unless we resort to the Harry Potter novels, which would suggest that the opposite of a wizard is a muggle. If we are to make this about gender, the opposite of a wizard could be a witch, in that these terms have sometimes been used to distinguish between male and female practitioners of magic (although not in the Harry Potter novels, which contain both male and female wizards).
Mistress is the opposite gender of master.
There is no opposite gender noun for the noun miner.The noun miner is a common gender noun, a word for a male or a female person who works in a mine.