Fiancé will not speak to me after drinking (3 weeks)

Second time I’ve ever posted on Reddit. I told My gf of 8 years that I wouldnt drink two weeks ago at a football game. I ended up drinking. I know I have a bad relationship with alcohol and I messed up and decided to drink. This is an on going issue with us and seems to be if not the only thing we fight about. But the thing is I wasn’t with her while drinking. Was safe. No one got hurt. We laughed and actually had a pretty fun day. Until she called me and could tell I had been drinking. Since then all my attempts of love and affection have fallen on deaf ears. She barely returns the hugs I give her. Barely speaks to me in whisper form. I feel like I am exhausting myself for someone who is not giving anything back. I completely understand her feelings are hurt and that I broke and promise and her trust. Now we live together in basically a silent state. Separate rooms. We spent xmas with my family but it was all an act on her part and if we were alone during the day, she still would not speak to me. But I am starting to think about this as well. We have been together for so long that I am terrified of the thought of not being with her but it feels like she’s trying to control me. She also is one of those people that thinks she’s right all the time. I have suggested couples therapy and she said “what do I have to talk to a therapist about, you are the one with the problem.” It has me questioning the relationship as well and I am thinking about if we are compatible anyway. I know she loves me. And I know I have to take a long break from drinking. And I am ok with that. I don’t crave it everyday at all. But there are definitely occasions where I have taken it to and over the limit. And other times where I have had a few drinks and been totally fine. those are rare though. I don’t ever want to go back to drinking everyday but I guess I want the freedom and for her to be ok with me drinking from time to time. Not get black out drunk but have some beers a few times a year. I know I have posted about this before and just looking for help on how I can get her to progress. Part of me feels like she will never be able to let this go and I will not spend the rest of my life making it up to her. But I will continue to treat her with the respect and love she deserves. Anyway. Thanks to all I appreciate the thoughts.