I'm not in a relationship right now, but the first time I got sober I was married and the relationship definitely went through alot of changes. My husband still drank after I got sober, but he didn't have a drinking problem so it didn't bother me. We had other issues however, and while I was drinking it was easy to let everything slide. Getting sober meant really thinking about what I needed/wanted, and alot of feelings came to the surface that I had never dealt with. We stuck it out for another 7 years, but eventually ended up going our separate ways.
It's hard to know what's best for us in early sobriety, but I think if I were in a relationship with someone who had a problem with alcohol, it would be really hard to stay in it. Hope you sort it out!