Thanks for the above 猫奴! I got a message from a very experience
I got a message from a very experienced 猫奴 and she suggested to treat the cat using some antibiotic for the eyes instead of streesing out the cat by taking her to the hospital. I will try her way first, not because it will save me several hundred bucks but also make it easier for the cat. I will report later. Have a nice weekend.