perplexity vs dilemma

perplexity and dilemma both are nouns.

Word	Noun	Adjective	Verb	Adverb
perplexity	Yes	No	No	No
dilemma	Yes	No	No	No

As nouns, dilemma is a hyponym of perplexity; that is, dilemma is a word with a more specific, narrower meaning than perplexity:

perplexity: trouble or confusion resulting from complexity
dilemma: state of uncertainty or perplexity especially as requiring a choice between equally unfavorable options

Other hyponyms of perplexity include closed book, enigma, mystery, secret, maze, snarl, tangle, quandary.

perplexity (noun)	dilemma (noun)
trouble or confusion resulting from complexity	state of uncertainty or perplexity especially as requiring a choice between equally unfavorable options