no

No, ur fine hun. I thought long and hard about how to use the term 'Alpha' in this fanfic before I started writing it. I had trouble myself.
          It mainly will mean "Protector," which is the role most fathers/heads of households take. It's not only males that can be alphas though, just usually is a male. She will NOT see Sasuke as her alpha. She will see him as someone to protect because they think they know everything. (which he doesn't, he's just arrogant like in the anime)
           She will be DOMINANT in relationships, of all kinds and not just romantic, that's what I mean. Alpha wolves in real life are not just leaders of packs, but usually the parents of the majority of the other lower members. So only father figures or leaders of teams and villages to her will be considered 'Alphas' in her mind. I tried keeping the term accurate to its actual real-life meaning in this fanfic. When I say she has an alpha mentality, I mean she sees herself as the protector of her pack/family/team, much like real wolf alphas.
           She's a 'family first' kinda girl. Wants to protect everyone she cares about. It will seem like she always listens to Sasuke at first, because "family first" mentality, but that quickly changes. My OC bows to NO ONE. (She'll pretend to at times, just to get her way.) Sasuke and her both have dominant-competitive personalities and will bump heads and tease each other like, all the time. Just like Naruto and Sasuke do, but her and Sasuke's relationship will be more playful banter and less of a,  "to see who is better." Plus, once she gains her human form, they will be raised like siblings who just verbally fight and tease each other a lot at home.
          Hope that helps clear some things up!