극(劇): extreme, to the limit; polar 호(好): good 감(感): feeling 호감 as a word, means "favorable impression" Thus, 극호감 is more or less a slang for "extremely favorable impression"

That means 'Super nice feeling to someone' cause 극 means 'extremely' and 호감 'favorable impression or good feeling to someone'

극호감 is the opposite of 비호감. 비 means 'not' and 호감 means a preference to something or someone. 비호감 means that you don't prefer someone or something. 극호감 is the opposite of it. 극 means 'very much'. So 극호감 means 'someone very much prefer someone or something'. Hope it helped. : )