The way her voice cracked
It's only a problem for her to discuss this stuff because she's based her image on being self-made. It must be so miserable and anxiety-inducing trying to maintain the lie all the time. she could easily have said, "Yes, he was! It's been the name of the game for my family for a while which is crazy. I can't imagine doing anything else" and then laughed. she wouldn't even have had to say anything serious.
IMO its only a matter of time before she gets interviewed on some left-wing news outlet like the Guardian and a journalist asks her point blank about it. the story would have the capacity to go viral in the right place just like the meme did on Twitter. There wouldn't be a story if she didn't act so cagey about it, like the media is filled with children of the super rich.