laundry vs household linen

laundry and household linen both are nouns.

Word	Noun	Adjective	Verb	Adverb
laundry	Yes	No	No	No
household linen	Yes	No	No	No

As nouns, household linen is a hypernym of laundry; that is, household linen is a word with a broader meaning than laundry:

laundry: garments or white goods that can be cleaned by laundering
household linen: drygoods for household use that are typically made of white cloth

Other hypernyms of laundry include garment, white goods.

laundry (noun)	household linen (noun)
workplace where clothes are washed and ironed	drygoods for household use that are typically made of white cloth
garments or white goods that can be cleaned by laundering