I'm so sorry you are going through this. My husband went to detox then refused rehab and relapsed very quickly too.
The best thing I did was separate from him at that point. I was convinced we would divorce and was using the separation to get things on my end in order. Having peace is priceless. He continued to stop and start with drinking but I was able to stay out of it. We are both in a better place now. I'm not sure how our story will go but I do know in our case separation was needed for both of us.
Good luck. It sounds like you are fully aware that you have no control over her drinking. Take care of yourself.