AC (shoulder) tears and the navy?

I'm currently finishing up my senior year of high school and am beginning the application process for the navy. I've been training both running and with body weight exercises to prepare, however I'm concerned that an AC tear that I suffered this August will disqualify me. My shoulder doesn't function any less efficiently, but the bone does noticeably stick out in the top on my shoulder. The recruiters said it shouldn't be a problem (as it's only a cosmetic flaw), but I've been told to be weary as they're often not the most honest. Does anyone know what the policy is concerning such injuries?