Kristi Noem says "South Park" needs to up their game ... insisting they're lazy for only criticizing her appearance -- but, she may want to watch the ep, 'cause the jokes don't end with her looks.

The Homeland Security Secretary hopped on "The Glenn Beck Program" Thursday to discuss the newly released episode of the controversial show ... and, she calls out the creators for repeatedly making jokes that mock women for how they look. Getty

Noem doubles down, adding ... "If they wanted to criticize my job, go ahead and do that, but clearly they can't. They just pick something petty like that."

Worth noting, the secretary admits she hasn't seen the episode -- pretty obvious given the jokes don't stop at the cover of her proverbial book. Paramount+

Yes, the animated episode makes jok

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