worthy vs desirable

worthy is a noun but desirable is not a noun.

Word	Noun	Adjective	Verb	Adverb
worthy	Yes	Yes	No	No
desirable	No	Yes	No	No

As adjectives, worthy and desirable are synonyms defined as:

Other synonyms of worthy include suitable.

worthy (noun)	desirable (noun)
an important, honorable person (word is often used humorously)

worthy (adjective)	desirable (adjective)
having worth or merit or value; being honorable or admirable	worth having or seeking or achieving
worthy of being chosen especially as a spouse	worthy of being chosen especially as a spouse
having qualities or abilities that merit recognition in some way