I think that if she actually wanted the media to appeal and knew she'd be overturned, then I think she would have granted the stay the media asked for. She would have not let testimony continue, knowing that the courts of appeal would overturn her decision to grant a stay, that would result in the Defense's testimony being put to a stop abruptly and witnesses testifying out of order! All things that ultimately confuse a jury.
Oh, well then, if I were JSS right now, I'd feel plenty silly. The court of appeals didn't even bother explaining why her decision made no sense!