Megyn Kelly responds to Bill O'Reilly's suggestion that her new book makes Fox 'look bad

There is a rift growing between Fox News hosts Megyn Kelly and Bill O'Reilly, who yesterday suggested his primetime counterpart is making their network "look bad" in her new book, "Settle for More," which outlines her sexual harassment allegations against former Fox Chairman and CEO Roger Ailes.

"I believe that Roger Ailes made the company look bad," Kelly countered Wednesday on "CBS This Morning."

"The Kelly File" anchor went on to say that she is "proud" she chose to write about the alleged harassment in her book. She told CBS' Gayle King that she discussed including it in the memoir with Fox CEO Rupert Murdoch and his son, Lachlan, who serves as the channel's co-chairman. "We were all on the same page that this is an important chapter to include," Kelly said.

But on his show Tuesday night, O'Reilly continued his passive-aggressive tirade against Kelly, ranting about the importance of "allegiance" to one's employer:

If somebody is paying you a wage, you owe that person or company allegiance. You don’t like what’s happening in the workplace, go to human resources or leave. I’ve done that. And then take the action you need to take afterward if you feel aggrieved. There are labor laws in this country. But don’t run down the concern that supports you by trying to undermine it.

Nevertheless, Kelly stayed the course Wednesday morning.

"I am proud of [Lachlan and Rupert]," she noted, "that they feel as I do — which is sunlight is the best disinfectant."

“I believe that Roger Ailes made the company look bad.” -- @MegynKelly pic.twitter.com/6vrsRH4fW5

— CBS This Morning (@CBSThisMorning) November 16, 2016