That's why organic isn't always the most ideal.
In Europe it’s different - https://ec.europa.eu/agriculture/organic/eu-policy/eu-rules-...
“When the animals are ill, chemically synthesised allopathic veterinary medicinal products including antibiotics may be used where necessary and under strict conditions. This is only allowed when the use of phytotherapeutic, homeopathic and other products is inappropriate.”
https://www.fooddialogues.com/happens-farm-animals-raised-no...
> On an organic farm, once that animal receives antibiotics, she is no longer considered an organic animal. Rather than rejoining her organic herd, she will join a traditional herd of cows that may have received antibiotics during their lives.
The more popular the organic religious dietary code becomes, the least viable traditional herds are.