Has she had any respiratory symptoms, such as sneeze or cough, crackles or wheezes when she breathes, or nasal drainage? It would be good to determine if her eye was pecked out or injured, and that is the reason for the pus, or if she might have a respiratory disease, such as MG. The eye may be swollen from the treatment today or there could be more pus, so I would check it tomorrow and the next day to see if there is any. You have done a good job—I have never had to do that before, and it can make some people squeamish to even watch the video. Here is a link for doxycycline to put in the water if you end up needing an antibiotic for respiratory disease: https://allbirdproducts.com/products/doxycycline-20
My drake a few years ago lost his eye when he made my rooster mad. We had these eye drops that we had to put in his eye to disinfect it a bit. He lived a normal life after he was healed.