cross-dresser vs somebody

cross-dresser and somebody both are nouns.

Word	Noun	Adjective	Verb	Adverb
cross-dresser	Yes	No	No	No
somebody	Yes	No	No	No

As nouns, somebody is a hypernym of cross-dresser; that is, somebody is a word with a broader meaning than cross-dresser:

cross-dresser: someone who adopts the dress or manner or sexual role of the opposite sex
somebody: a human being; person, singular, assertive existential pronoun; pronoun, person, singular; quantifier: assertive existential

Other hypernyms of cross-dresser include individual, mortal, person, someone, soul.

cross-dresser (noun)	somebody (noun)
someone who adopts the dress or manner or sexual role of the opposite sex	a human being; person, singular, assertive existential pronoun; pronoun, person, singular; quantifier: assertive existential