The movie's Official Novelisation contains the rest of the conversation that we missed when Claire walked away from the camera during the establishing scenes at the start of the film.
In short, while it seems like she's (somewhat) blamed for what happened, she doesn't appear to have suffered any legal sanction for her actions on the island. Not only that, but even though people know who she is, they're still willing to entertain her calls and publicly support her organisation.
“Hi, Congresswoman Delgado. My name is Claire. I’m the lead organizer here,” said Claire as she moved around the room seeing to other matters while talking on the phone at the same time. She was a multitasking maven, applying corporate management skills for good.
“Our mission at the Dinosaur Protection Group is to secure funds for a safe, natural habitat for these creatures,” said Claire, before stopping abruptly and listening to what was being said on the other end of the line.
She took a deep breath. “Yes. I am the same Claire Dearing who was the
operations manager at Jurassic World. And yes, I do feel responsible
for what happened there. That’s why I’m here doing what I’m doing
This tallies nicely with what we read in the film's Survival Guide, a factbook written from an in-universe perspective;
Following the disaster at the park in 2015 she took some time off to decide what her next move would be. Claire was disillusioned by the corporate world and no longer interested in working for a group driven solely by profit. She founded the Dinosaur Protection Group, a not-for-profit organization dedicated to saving the dinosaurs left stranded on Isla Nublar.