What would I do?!
First of all, I would be devastated, I would feel betrayed and angry and really really hurt and sad. Honestly, this is a horrible thing to have happened to you, not only you got betrayed, but you got betrayed by 2 people who were supposed to be close to you and protect you. Also the way of finding out about it really sucks and I'm sure you feel like your hole perception of live was shattered and like nothing in life make sense anymore.
W hat I would do is this. First of all, I would do nothing. I would give myself time and space to feel this massive pain and anger and feelings and I would focus on myself and my own emotions rather then on my family. I might even go back to therapy and try to discover how this interact with other events in my life, while exploring and expressing my own feelings toward this, I would try to figure out what I want the next step to be, whether I want to stay in the relationship which means talking to my husband and probably cousin about it and trying to figure out how to rebuilt the trust and make myself feel secure in the relationship. Or if I come to realize I don't want to be in the relationship anymore, I'd hire a great divorce lawyer and get the hell out of there.