"worthy to be desired, fit to excite a wish to possess," late 14c., from Old French desirable (12c.), from desirrer (see desire (v.)). In Middle English sometimes it meant "desired, hoped for, welcome." Related: Desirably.
word-forming element making abstract nouns from adjectives and meaning "condition or quality of being ______," from Middle English -ite, from Old French -ete (Modern French -ité) and directly from Latin -itatem (nominative -itas), suffix denoting state or condition, composed of -i- (from the stem or else a connective) + the common abstract suffix -tas (see -ty (2)).
Roughly, the word in -ity usually means the quality of being what the adjective describes, or concretely an instance of the quality, or collectively all the instances; & the word in -ism means the disposition, or collectively all those who feel it. [Fowler]
<a href="https://www.etymonline.com/word/desirability">Etymology of desirability by etymonline</a>
Harper, D. (n.d.). Etymology of desirability. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/desirability