i did research on avian vets in my area and saw one that people from local bird forums recommended and said they take their birds there. there is also an ambulance in the city's veterinarian university which i believe is a better option but since it's further away from the other clinic and i don't have a car but instead have to take the bus, i took her to the first one.
i took both my birds with me since i thought the trip would be less stressful for them if they had each other. they were chirping the entire way which surprised me since when i was carrying the male bird through the town when i got him from his previous owners, he was quiet and very scared. it was a bit windy but hopefully they didn't catch a cold.
there were a few vets in the clinic and the one that took us in specializes in birds and small animals. he took a look at her and clipped her nails. he also applied some saline solution to her eye. we also noticed she had something stuck in there too, probably a feather or loose skin. he attempted taking it out, but she was really disobedient and after 10 minutes he gave up. he did manage to move it aside so she can see and warned me about the possibility of her eye being damaged and the liquid from it leaking, leading to her becoming blind on that eye. for now that doesn't seem to be the case but i'll see how it'll look tomorrow. the vet prescribed her eye drops which i bought on the way back home. she takes a lot of naps now, but it's probably due to the stress. i gave her the drops (though it was quite difficult keeping her still) and i will continue with the treatment for a week. if anything goes wrong, the vet told me to give him a ring and let him know i'm coming.
when we returned home she managed to slip out of my hand as i was trying to apply her the drops and flew around a bit and played with her mate so it makes me happy she's doing well.
here are some pictures from before and after i gave her the eye drops.