A single word for female magician is not available in English. You can write 'lady magician' or 'woman magician' instead.
A male magician is simply referred to as a "magician." There is no specific term that differentiates male magicians from their female counterparts, who are often called "female magicians" or "magiciennes." In general, both genders are included under the broader category of magicians, regardless of their sex.
Traditionally, the word "witch" refers to a female magician, and "warlock" refers to a male.But a witch can be male or female
Magician.
magician
William Shakespeare did not write anything called Merlin the Magician
A non-magical person could be called a Muggle. Magician does not have a direct antonym.
If you look closely you'll see it's a female since she has breast
cursed magician
magician
Merlin
dhyan chand
In general, no. There is a difference between the terms "Dark Magician" and "a Dark Magician monster". The first means a card called, and only called, "Dark Magician", while the second means any monster with 'Dark Magician' in the name, including 'Dark Magician Girl'. That means 'Dark Magician Girl', or 'Skilled Dark Magician', etc, are unable to use most Dark Magician support cards - you can't summon them using Dark Magic Curtain, they won't let you activate 'Dark Magic Attack', etc.