egg cell vs gamete

egg cell and gamete both are nouns.

Word	Noun	Adjective	Verb	Adverb
egg cell	Yes	No	No	No
gamete	Yes	No	No	No

As nouns, gamete is a hypernym of egg cell; that is, gamete is a word with a broader meaning than egg cell:

egg cell: the female reproductive cell; the female gamete
gamete: a mature sexual reproductive cell having a single set of unpaired chromosomes

egg cell (noun)	gamete (noun)
the female reproductive cell; the female gamete	a mature sexual reproductive cell having a single set of unpaired chromosomes