eye infection vs hordeolum

eye infection and hordeolum both are nouns.

Word	Noun	Adjective	Verb	Adverb
eye infection	Yes	No	No	No
hordeolum	Yes	No	No	No

As nouns, eye infection and hordeolum are synonyms defined as:

eye infection and hordeolum: an infection of the sebaceous gland of the eyelid

Other synonyms of eye infection include sty, stye.

eye infection (noun)	hordeolum (noun)
an infection of the sebaceous gland of the eyelid	an infection of the sebaceous gland of the eyelid