The token you put onto the battlefield copies exactly what was printed on the exiled creature and nothing more (unless it was copying something else or it was a token; see below). It doesn't copy whether the exiled creature was tapped or untapped, whether it had any counters on it or Auras attached to it, or any non-copy effects that changed its power, toughness, types, color, or so on. For example, if Nemesis Trap targets an animated Celestial Colonnade, the token you put onto the battlefield will be a Celestial Colonnade that's just a land. (Because of this, Nemesis Trap has received minor errata to specify that you put a token, not a "creature token," onto the battlefield.)