tonsillectomy vs extirpation

tonsillectomy and extirpation both are nouns.

Word	Noun	Adjective	Verb	Adverb
tonsillectomy	Yes	No	No	No
extirpation	Yes	No	No	No

As nouns, extirpation is a hypernym of tonsillectomy; that is, extirpation is a word with a broader meaning than tonsillectomy:

tonsillectomy: surgical removal of the palatine tonsils; commonly performed along with adenoidectomy
extirpation: surgical removal of a body part or tissue

Other hypernyms of tonsillectomy include ablation, cutting out, excision.

tonsillectomy (noun)	extirpation (noun)
surgical removal of the palatine tonsils; commonly performed along with adenoidectomy	surgical removal of a body part or tissue
	the act of pulling up or out; uprooting; cutting off from existence