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.
"When I was a child
I caught a fleeting glimpse
Out of the corner of my eye
I turned to look but it was gone
I cannot put my finger on it now
The child is grown, the dream is gone
And I have become comfortably numb."Pink Floyd