They don't have to take her story down. She went public. They reported on it. She's a journalist... She should know that's how this works.
Just because you don't like the outcome of the story doesn't mean you own the rights to it.
I'm sure Adam Orth didn't want Kotaku publishing his tweets because it was bad for him. But guess what? It's public.
You're 100 percent right. That was a mistake on my part. I'm wondering if there's a reason she wants it taken down, though. Perhaps she knows a misunderstanding may have occurred?