Consider if you're looking at each piece of news with this "sketchy" filter in mind. Lots of things can look sketchy. But there are alternate explanations for lots of things. For whatever reason, we're better tuned for continuing a bias than we are for breaking it when we see the right amount of counter arguments.
Before you go too far down a rabbit hole, do a quick reality check. Major news sources are now reporting that she _appeared in court_ to deliver this. If this is a lie, it would take an absurd amount of coordination by the media, the other members of the supreme court, perhaps even members of the public in attendance. This should overrule any sense of sketchiness, however all the dots seemed to connect.
It is. She was in court Tuesday. Oral arguments are open to the public, and even if they weren't, the conservative judges would have to be in on the conspiracy too.