Will I lose custody of my child because my alcoholism relapsed?

I have never expected to deal with something like this, but I recently relapsed with alcoholism. I have a baby, now, and the first night of my relapse, my baby was with me. This is horrific. I was at the store next to my home (with our baby) buying alcohol when my husband found me that evening. He took the baby to stay with his parents until I entered a treatment program. In the midst of all of this, he called authorities, who referred us to a Social Worker. We have since met with the worker, and it seemed like it would be a simple case to resolve. She said that she would follow up with our child's medical records and make sure that I was seeking treatment, and most likely close the case in a few weeks. Is there anything I need to know about going through something like this? What is the legal procedure like, and am I at risk to still lose my baby? I am horrified by this, but taking as much action as I can to make sure this never happens again. With the treatment that I am seeking right now and release form I signed, what information will be discussed between the case worker and my therapist? I am worried about confidentiality in my treatment, and more worried about making sure we don't lose our child. Neither my husband or I are seeking separate custody. We plan on remaining together to work through this. Please help if you can. Thank you.