There is no license. That's why a nakedly bad-faith propaganda network like Fox or RT can call themselves "News" and get away with it for decades at a time.
In the US, only money has a real say. The way to force news networks to shape up is to keep finding them in damages for deliberately misrepresenting the truth. In other words, treat their misinformation as the deliberate fraud that it is, identify how it's hurting our society, put a $ number to that damage, and sue networks like Fox into extinction.
They already had to pay nearly a billion from hurting one company.
Trump is an imbecile that can barely string sentences together, so what he says needs to be translated for the rest of us.
In that particular instance, what he was trying to say with his limited ability to communicate, is that he believes that Kamala had tried to distance herself from her black heritage when she thought it was politically convenient in the past. But then she decided to reclaim her black heritage when she felt it could help her politically once again. He is accusing her of playing racial identity politics with her own racial background.
The "put out" in that statement was him trying to say that Kamala herself issued political messaging to distance herself from her black heritage. He was saying that Kamala herself "put that messaging out." So that moment in the debate wasn't about slut shaming, it was about racial politics shaming.
I think the media should stop trying to normalize what he is saying. Translating for him only helps him. They would never have done that for Biden or anyone else. I agree Trump is an imbecile.