She equally doesn't like people who support superheroes, including Lois. And presumably Martha Kent, despite liking her son a lot.
In Name Only: Most of the Smallville characters depart from their comic book versions, but this character is pretty much the opposite of her comic book counterpart. The comic book version of Cat sleeps her way into interviews, wears slutty outfits, has breast implants, and couldn't care less about politics. On the other hand, the TV version dresses very conservatively and is pudgy (by Smallville standards), can't even say the word "sex" and has to spell it, and is passionately Straw Conservative.
Inspector Javert: Really does not trust superheroes. Or at least superheroes that hide their identities.
However, in recent episodes, that may be changing, especially when not only the Blur saved her, but she actually sees him (albeit from his back). And she made peace with Lois.