cutting out vs surgery

cutting out and surgery both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutting out	Yes	No	No	No
surgery	Yes	No	No	No

As nouns, surgery is a hypernym of cutting out; that is, surgery is a word with a broader meaning than cutting out:

cutting out: surgical removal of a body part or tissue
surgery: a medical procedure involving an incision with instruments; performed to repair damage or arrest disease in a living body

Other hypernyms of cutting out include operation, surgical operation, surgical procedure, surgical process.

cutting out (noun)	surgery (noun)
surgical removal of a body part or tissue	a medical procedure involving an incision with instruments; performed to repair damage or arrest disease in a living body
	a room in a hospital equipped for the performance of surgical operations
	a room where a doctor or dentist can be consulted
	the branch of medical science that treats disease or injury by operative procedures