If a woman is being sued by a debt collector for a debt that her ex-husband was ordered to pay in their divorce papers will will she win the case

The answer is "it depends." If both parties are liable on the debt, the fact that the husband was directed to pay the debt in connection with a divorce will not negate the wife's liability; rather, it will merely give her a claim over against the husband that he reimburse her for any amounts that she has had to pay.