woolly-headed vs muddled

woolly-headed and muddled both are adjectives.

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

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

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

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

woolly-headed (adjective)	muddled (adjective)
confused and vague; used especially of thinking	confused and vague; used especially of thinking