Boy, don't I know. You should see me stitching a chicken by myself. While 'gently pinching' skin so not flat against body with one hand, holding chicken with combo of lap, wrap and elbows., Stick needle into flesh on one side of wound with 2nd hand, immediately let go so when chicken shakes/move, it doesn't pull the needle out. grasp needle point end and pull all the way through flesh. Carefully stick needle into flesh other side of wound and immediately let go...allow chicken to wiggle/shake...grasp needle and pull through. Repeat as many times as needed to generally secure.
Yes, prior to this, I have washed wound as best as possible, flushed with either betadine or hydrogen peroxide, scrubbed myself with soap, rinsed, then 'rinsed' hands with rubbing alcohol, also have sterilized needle and thread. And grabbed a freshly laundered towel for wrapping the chicken best I can based on wound location.
however, no, the chicken itself is clearly not sterile, especially her feathers that she may shake and fluff...now that I think about it...she probably spreads microorganism and dust into the air every time.

Even with being wrapped....wounds are usually on the body itself, so can't 'contain' all the feathers.

Great. I wish I was still in my ignorant little bubble. I'm going to totally freak out the next time I have an injured chicken that I need to do something about.