Fox Reality Channel is giving reality sidekicks a chance to headline their own nonscripted show.“Gimme My Reality Show!” revolves around D-list celebs who have appeared on reality shows but never starred in their own. Contestants will battle for star recognition in a variety of challenges. A panel of reality producers, execs and former reality stars will judge, while viewers will select the ultimate winner — who will then receive his or her own four-episode show. Series, produced by Natural 9 Entertainment, premieres Oct. 11 at midnight, following the net’s Really Awards. Initial participants include former “Baywatch” co-star Traci Bingham and “Project Runway” runner-up Santino Rice.