https://www.backyardchickens.com/threads/need-help-with-hen-with-a-possible-reproductive-tract-infection.1499118/#post-25045762
This thread has info if what your hen has is indeed an infection, but it usually only prolongs their life but it will likely come back.
You can try fish antibiotics but reproduction issues rarely get better, she looks like some sort of sex link, they are prone to reproduction issues and rarely live longer than 3 years due to that reason.