You’re absolutely right.
The right move would be to make a big show of this, point out the absurdity, rightfully point out that you’re being accused of being a rapist without proof, and give a speech where you point out that you just need to pee.
The Right isn’t going to say “Oh, so you agree you’re a man. Maybe you aren’t a man, pee wherever, on my face if you want!”
They’re going to say “Glad you know your place [Insert Transphobic Slur Here] now if we can get the rest of your putrid kind to get the memo.”
By giving up this fight, she’s well on her way to go as far in her career as Ernst Rohm did in his.
Don’t know who that is? One of Hitler’s closest allies, a commanding officer of the Nazis, a leading member of the Nazi Party, on a first name basis with Adolf himself…
He was also a homosexual who agreed with carting the [Insert Homophobic Slur Here]s off to camp even though he was openly gay because “Me and Hitler are bros, he’s not going to…”
We’ll never know how that sentence ended because they put the chloroform over his face and then he found himself waking up in line for the gas chamber.