toe vs hallux

toe and hallux both are nouns.

Word	Noun	Adjective	Verb	Adverb
toe	Yes	No	Yes	No
hallux	Yes	No	No	No

As nouns, hallux is a hyponym of toe; that is, hallux is a word with a more specific, narrower meaning than toe:

Other hyponyms of toe include big toe, great toe, hammertoe, little toe.

toe (noun)	hallux (noun)
the part of footwear that provides a covering for the toes	the first largest innermost toe
(golf) the part of a clubhead farthest from the shaft
one of the digits of the foot
forepart of a hoof

toe (verb)	hallux (verb)
touch with the toe
hit (a golf ball) with the toe of the club
drive obliquely
drive (a golf ball) with the toe of the club
walk so that the toes assume an indicated position or direction