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Hello. Thanks for the question.
It sounds like a bit of conjunctivitis that you are seeing. This can happen with upper respiratory infections. They can be viral (Herpes, Calici) or bacterial (Chlamydia, Bordatella, Mycoplasma). Even vaccinated cats can have upper respiratory infections if exposed to a new bug or new strain that they have not been exposed to.
There are a couple options for treatment. If mild, you could just let it run it's course over 1-2 weeks. I would just use artificial tears in the eyes as opposed to a homeopathic drop. Just pick up some over the counter Genteal or some other artificial saline tear. You can put 1 drop in each eye 2-3 times daily. If it's getting worse or doesn't seem to be improving, then I'd have a full ocular exam with a vet and then use some medicated antibiotic drops as needed. Oral antibiotics are also an option- usually Doxycycline or Azithromycin.
I hope this helps, let me know if you have any other questions.