Welcome soberandseeking.
I think it's fair to say that every single one of us struggled with accepting our addiction for what it is at some point, so you are definitely not alone there.
For me it wasn't so much even accepting that I am an "alcoholic" as much as just accepting that I cannot drink alcohol safely or responsibly. Accepting step one of the AA steps is certainly important if you plan on using AA, but not everyone uses AA either. Having said that, even if you use a different method, I still feel it's imperative that we accept/surrender/acknowledge that drinking will never be an option. If we leave the door open even a little crack, we'll almost certainly drink again.