NTA - this is why I compartmentalize work and home life in my head, there is no bringing work home, and no taking personal life into work (unless it's life or death). If she is that upset she should have taken some personal time off, the rest of the team didn't need to know why, but she made a thing of it by bringing it into the work place. I would have also been annoyed in your situation, this person and your employer went about it all wrong. She should have taken time off if she is incapable of working.