bee sting vs insect bite

bee sting and insect bite both are nouns.

Word	Noun	Adjective	Verb	Adverb
bee sting	Yes	No	No	No
insect bite	Yes	No	No	No

As nouns, insect bite is a hypernym of bee sting; that is, insect bite is a word with a broader meaning than bee sting:

bee sting: a sting inflicted by a bee
insect bite: a painful wound caused by the thrust of an insect's stinger into skin

Other hypernyms of bee sting include bite, sting.

bee sting (noun)	insect bite (noun)
a sting inflicted by a bee	a painful wound caused by the thrust of an insect's stinger into skin