"Badly smitten" is a phrase commonly used to describe an intense attraction or infatuation with someone or something. There are several synonyms that can be used in place of this phrase, such as "head over heels," "madly in love," "deeply enamored," "infatuated," or "smitten." These expressions convey a strong emotional attachment to someone or something and may also imply an element of obsession or irrationality. Other synonyms for "badly smitten" include "besotted," "captivated," "enthralled," "transported," and "spellbound." Each of these synonyms provides a slightly different shade of meaning, but all convey a sense of irresistible attraction and intense emotional involvement.