The limitations period on enforcing judgments is ten years, and judgments can be renewed. If the property settlement is not incorporated into the judgment the contractual limitations period may apply; I'm not going to make you any promises - if you want a limitations analysis performed, take all of your documentation to a lawyer for review.
If she gets a judgment against you, she will have a judgment against you. If you work something out such that she gets the ring and the case is dismissed, she won't have a judgment against you.

