"This has to end," said Norah O'Donnell.
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The morning show - normally hosted by Rose, O'Donnell and Gayle King - was down to the two women and the accusations against their colleague was their lead story. CBS suspended Rose following Monday's Washington Post story about him and PBS also halted distribution of his nightly interview show.
MORE: Charlie Rose suspended by CBS amid sexual harassment allegations; PBS halts his show
King said she considered Rose a friend and held him in high regard, but was struggling because "what do you say when someone that you deeply care about has done something so horrible?
"How do you wrap your brain around that?" she said. "I'm really grappling with that. That said, Charlie does not get a pass here. He doesn't get a pass from anyone in this room."
She said that while the story described a Rose she did not know, "I'm also clearly on the side of the women who have been very hurt and damaged by this."
A stern O'Donnell didn't address her relationship with Rose.
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"This is a moment that demands a frank and honest assessment about where we stand and more generally the safety of women," she said. "Let me be very clear. There is no excuse for this alleged behavior."
She said women cannot achieve equality in the workplace and society unless there is a reckoning and taking of responsibility.
Rose, 75, apologized for his behavior in a statement issued Monday and said he was embarrassed by it. He joins a rapidly growing list of public figures felled by misconduct allegations since the floodgates were opened by The New York Times' investigation of harassment and assault by Hollywood mogul Harvey Weinstein.
The "CBS This Morning" eye-opener segment, a 90-second collection of film clips about the day, also led with the Rose story and quoted two pundits speculating the charges may end his career. "He's toast," said one off-screen voice.
Rose has co-hosted the morning show since 2012, and it has gained in the ratings against its better known ABC and NBC rivals with a newsier approach. Rose's PBS program, where he interviews newsmakers in the media, politics and entertainment, has been airing since 1991.