I recently had to have my cat euthanized and that is the one exception to their "no entry" rule, when you are letting go of a pet. I'm surprised your vet will not allow it.By euthanize her - you mean break her neck? The farmers around me all offered to put any chicken down upon request (they are neck breakers) - but, whenever I needed them, they were never available. I have a tractor supply 2 min. away - if I can buy something there and inject her - please let me know. My vet usually lets you stand there while your pet is euthanized, but, due to Covid, they are not allowing it. For the past year, clients remain in their parking lot - assistants come out to the parking lot - bring the the pet in - Dr calls you afteer the exam - then they bring them back out.
I don't mean just breaking her neck. Swift decapitation is undoubtedly the quickest, most pain free form of euthanasia for a chicken.