The antonyms for the phrase "haddest no taste for" would be "had a liking for," "enjoyed," "wanted," "craved," "yearned for," "desired," "longed for," "fancied," "hankered after," "had an appetite for," "had a fondness for," "found pleasure in," "relished," "took delight in." These words indicate a preference or desire for something, as opposed to having no interest or distaste for it. When we use antonyms, we can convey a contrasting meaning to the original statement and express ourselves in a more precise and specific manner.