Her DNA was the only thing she had no control over, she had figured if anyone was going to get close enough to even have access, she would have bigger issues than someone finding her name. If she was close enough to allow anyone access, she would have been as good as dead anyway. She was considered a deserter of the Rogues, and the punishment for that was death. Death not only to her, but those helping her.
The surgery was progressing well, surprisingly well. Her shallow breathing still faltered every so often, it would have been enough to make the nurses uneasy. She wasn't stable, but each passing moment she was being dragged away from deaths door.
Hours passed, and it would be at the very least hours more before she would be comfortably taken out of the induced coma.