This is the type of infection that would respond beautifully to the homeopathic remedy HEPAR SULPHURIS CALCAREUM. Everyone knows why we should try our best to avoid using antibiotics - they mess up the gut flora and invite fungal infections and there's also the problem of creating antibiotic resistance. I'll let Joette Calabrese (world renowned as I'm finding out)) do the talking.
https://joettecalabrese.com/blog/hepar-sulph-the-homeopathic-antibiotic/
Only wanted to add that Hepar sulph. is very interesting because at the beginning of an infection, it will prevent pus from forming and will heal, but once pus has started to form, it will hasten the pointing of an abscess and the evacuation of the infection.
You should also know that there was a case not too long ago
https://www.backyardchickens.com/threads/broken-toe-bumblefoot-got-infection.1308876/. Unfortunately, after oral antibiotics as prescribed by a vet, the infection didn't go away and the toe had to be amputated.
https://www.amazon.com/dp/B002ISQ9UM/?tag=backy-20
If you decide to get Hepar Sulph. please post and I'll be back with how to store, handle, administer and - very important- the dosage.