It wasn’t a settlement, it was severance pay, which was without any admission of liability by Cain and who was not a party to that agreement.
You probably already know this, but have you seen this lawsuit she had with David Axelrod less than two months ago?
https://w3.courtlink.lexisnexis.com/cookcounty/Finddock.asp?DocketKey=CAAJ0MB0BFIICG0MD