Since she responded to oxytet, MG is probable. I doubt if the vet cultures or tested for it. Here is some reading about MG:
https://extension.umd.edu/sites/extension.umd.edu/files/_docs/programs/poultry/FS-1008 Recognizing and Preventing Mycoplasma gallisepticum (MG) Infecti....pdf...
Most respiratory diseases are for life, and the chickens are carriers. Just close your flock to new birds and do not rehome or sell birds or hatching eggs. MG is common in some backyard flocks, and since your hen responded to the antibiotic, it may well be that. Stress (molt or extreme weather...