Should of just walked into class, told the professor that as a woman you shouldn't have to remind him or explain to him the evils of the Patriarchy™ and that him demanding you write a paper on it is the epitome of male privilege and sexual discrimination. With any luck you'll get him fired, be able to sue him for all he's worth, and even if you don't get your degree the fame alone will carry you for a while.
Now, if you're thinking; "Wow, that's really fucked up. I would never do such a scummy thing!" Just remember his type are part of the group that pushed for this bullshit to begin with. You're only hanging him with the rope he's used to hang others who expressed opposing views. He has it coming.