Anger is a reaction to your situation not a step of detachment. Anger is an indication that you are not happy or at peace. Anger is the emotion I felt when I finally reached out for help. It's when I finally said something has got to change.
Detachment will come with healthy boundaries. Detachment should give you peace. As you research alcoholism, codependency, and their effects you should gain a better foundation for making healthy boundaries. When a healthy boundary is in place you will not have the need to react in such a way.
You are off to a good start. Knowledge is the key to making healthy changes for yourself. You deserve happiness.