Welcome to MS.
That being said, you are not alone in your struggles with alcoholism and other addictions. The experience of childhood sex abuse distorts our normal development, and that shows itself in all sorts of ways.
Recovery starts with breaking the silence about what happened. You've already taken that step. And you've found a therapist to help you work through the issues you describe. You are ahead of where many of us were when we arrived at MS. You may find other issues to deal with in the process. In the meantime, read the posts here, and write some of your own when you feel able to. MS has been a huge help to me in recovery, and I hope you find what you need here. Good luck.
"Suffering was the only thing that made me feel I was alive,
Thought thats just what it cost to survive in this world,
...now I haven't got time for the pain... " -Carly Simon now 67!