kalyx522,
I was hit by a jeep last year of AFROTC. Lost a USAF pilot slot because of a bad EKG. Short story. USAF says "NO", but through persistence ended up in Navy with a "go". The navy accepted the civilian cardiologist testing results to revaluate me at the Navy. Navy tested the heck outta me, but found me physically qualified. Short story, keep trying. The nice thing about the military is that recruiters change out often enough that you do a reapproach.
New person, new opportunity. Be respectful, but having civilian doctor evaluations helps your case.
Good luck