befuddled vs woolly-headed

befuddled and woolly-headed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
befuddled	No	Yes	No	No
woolly-headed	No	Yes	No	No

As adjectives, befuddled and woolly-headed are synonyms defined as:

befuddled and woolly-headed: confused and vague; used especially of thinking

Other synonyms of befuddled include addled, muddled, muzzy, woolly, wooly-minded, wooly.

befuddled (adjective)	woolly-headed (adjective)
perplexed by many conflicting situations or statements; filled with bewilderment	confused and vague; used especially of thinking
confused and vague; used especially of thinking
stupefied by alcoholic drink