You must look the chicken in the eye before you kill it to get the satisfaction.
Make sure it knows it's going to die a most horrible death, maybe flaunt the fact it won't see another day.
Then gather the other chickens around and grasp the chicken's throat tightly. Then swing the chicken like a bolo and rotate the neck 2 or three times. There will be a snap and gurgling.
Laugh, laugh in a deep satisfied way so that the other chickens realize that this is personal, very personal.
Toss the chicken to the ground and it will gurgle just a little and run for a while. If it comes toward you it gives you the perfect opportunity to deliver a final kick while the chicken's brain may still be able to process the pain....