I decided to watch the entire interview and I came to the conclusion that Gayle didn't do anything absolutely wrong. Yes, she did not have to ask Ms. Leslie about Kobe's rape allegations so soon after his passing. But she was well within her right to ask anyway, and the angle she went with the question was very fair.
I think everyone whom knocked King (also well within their right to come to their own conclusions about the questions she asked, correct context or no) went supremely overboard after that clip of the interview hit social media. Some, according to Oprah, are now launching death threats against her. She does not deserve this, and those who lauched those threats instead of taking time to actually watch the interview after the fact can shove them up theirs.
Except some did years earlier. Gayle just wasn't one of them.
It is not easy to report a rape or throw an accusation when the law will somehow take the rapists side and not the victim's, and (if/when news gets out) the public will mostly accuse the victim of everything under the sun, especially wanting the man's money. And if you were victimized by a famous male luminary, don't expect the process to be any more easier-- even if the victims themself is also famous. That is just a few reasons many women - let alone the women accusing Cosby for many years - don't report right away.
And another thing, I'm tired of people saying stuff like this about some famous black men being accused of sex crimes when some famous white men do the same. If famous black men (and pretty much all men in general) don't do and/or get accused of sex crimes in the first place, we wouldn't be having this discussion. And those more than probably wouldn't have asked those men anyway as you for certain wouldn't have gotten the chance anyway.
Gayle has had DECADES of experience in the media before even starting CBS This Morning - she started at WJZ in the late 70s. You not knowing this very easy fact is really distressing.