early 14c., "act of tasting," from Old French tast "sense of touch" (Modern French tât), from taster (see taste (v.)). From late 14c. as "a small portion given;" also "faculty or sense by which the flavor of a thing is discerned;" also "savor, sapidity, flavor."
Meaning "aesthetic judgment, faculty of discerning and appreciating what is excellent" is first attested 1670s (compare French goût, German geschmack, Russian vkus, etc.).
Of all the five senses, 'taste' is the one most closely associated with fine discrimination, hence the familiar secondary uses of words for 'taste, good taste' with reference to aesthetic appreciation. [Buck]
Taste is active, deciding, choosing, changing, arranging, etc.; sensibility is passive, the power to feel, susceptibility of impression, as from the beautiful. [Century Dictionary]
word-forming element meaning "lacking, cannot be, does not," from Old English -leas, from leas "free (from), devoid (of), false, feigned," from Proto-Germanic *lausaz (cognates: Dutch -loos, German -los "-less," Old Norse lauss "loose, free, vacant, dissolute," Middle Dutch los, German los "loose, free," Gothic laus "empty, vain"), from PIE root *leu- "to loosen, divide, cut apart." Related to loose and lease.
<a href="https://www.etymonline.com/word/tasteless">Etymology of tasteless by etymonline</a>
Harper, D. (n.d.). Etymology of tasteless. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/tasteless