White Friar vs mendicant

White Friar and mendicant both are nouns.

Word	Noun	Adjective	Verb	Adverb
White Friar	Yes	No	No	No
mendicant	Yes	Yes	No	No

As nouns, mendicant is a hypernym of White Friar; that is, mendicant is a word with a broader meaning than White Friar:

White Friar: a Roman Catholic friar wearing the white cloak of the Carmelite order; mendicant preachers
mendicant: a male member of a religious order that originally relied solely on alms

Other hypernyms of White Friar include friar.

White Friar (noun)	mendicant (noun)
a Roman Catholic friar wearing the white cloak of the Carmelite order; mendicant preachers	a pauper who lives by begging
	a male member of a religious order that originally relied solely on alms

White Friar (adjective)	mendicant (adjective)
	practicing beggary