
Should the New Kid be a girl, the New Kid’s mother’s momentary pause before referring to her child as “him” in the beginning of The Stick of Truth could be seen in retrospect as her simply trying to adjust after changing her daughter’s gender identity in an attempt to hide her from the government. Then again, that just begs the question of how they failed to notice their biological sex should they be biologically female.
So of course people will refer to her by her biological sex. Throughout the entirety of The Stick of Truth, she never once spoke (until the very end of the game, uttering classical "Screw you guys, I'm going home") let alone clarified her transgender status.
While the confusion regarding the New Kid actually being a girl is generally Played for Laughs, it does make sense if she's a trans girl. Something they really did do in the last game, so technically, that really is part of their backstory.
Possibly coincidental, but the New Kid's backstory consists of them walking in on their parents doing the dirty. Also doubles as a dig at the Marvel Cinematic Universe, where Daredevil, their closest analog to Mysterion, is relegated to a Netflix series. Naturally Cartman wants to downplay Kenny's role in the franchise. Alternatively, it's been established in the show that Kenny is both a more popular hero than Cartman ("The Coon") and the others' preferred leader (the "Coon and Friends" trilogy). Why does Mysterion/Kenny get relegated to Netflix? The Coon/Cartman likely did it as a dig because he's poor. He'll gladly take away your game if you don't give him what he wants. His ultimate displays magazine covers and posters all about him. This could be seen as a dig at those wanting to skip the cutscenes and getting straight to the gameplay, but this could also be Cartman throwing another tantrum but directing his vengeance at you, the player. Keep it up and he'll eventually just skip the entire game and send you straight to the end credits sequence instead.
If you attempt to skip the opening cutscene, The Coon/Cartman instead interrupts saying you don't want to skip it.