I think in order to answer your question you should provide more information besides the fact that you're a DO applicant. Do you have any red flags on your application? Are you interested in the more competitive family programs? Are you considering only certain geographical locations?
In all seriousness, we MD students don't see any difference in competitiveness between you DOs and us MDs in FM world. That isn't the factor that should worry you in this process -maybe there is one you should worry about, but I sold my magic 8 ball at a yard sale, so can't figure that out for you just now.