If you asked the men in the audience a question about a personal, not social, issue, and a woman host tried to answer, you'd be entirely right in telling her to hold her damn horses, you weren't asking her.
I mean if you were asking a group "Do you find briefs keep your balls in line", and a woman started talking over everyone, I think it would be perfectly reasonable to say "sorry this question is only for people with testicles.".
From other comments it seems like the context is they know each other and it's not really like that. More so because it's not a broad topic, it's a question about personal experience, shushing someone trying to weigh in on how other people must feel about something they're only speculating on is reasonable.
Power imbalances exist in our society, such that women on the whole are the oppressed, and men the oppressors.
Therefore, the same situation is not equitable, depending on who is in control.
Craig and CBS are the patriarchy and in control, and Carrie is the resistance. She is permitted to rise up (in small or large part) against the patriarchy, because the power imbalance existed then as it does now.
So no, it's not okay for you to tell women to shut the fuck up. If anything, they might listen if you listened.