Gov. Sarah Palin has fired back at David Letterman in their continuing feud over remarks the talk show host made about the Alaska governor and her daughter.

Palin was on NBC’s The Today Show Friday morning, supposedly to talk about a natural gas pipeline she wants to build. After a brief discussion on that matter, the topic changed.

Matt Lauer: Can we talk about some of the other ways you’ve been in the news lately, and you know about this. There’s been this feud this week with Late Show…

The governor demanded that Letterman apologize to women. She also told Lauer that he was “extremely naive” if he believed Letterman’s explanation of and apology for the joke.

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