The phrase "turns one's head" refers to something that captures one's attention or interest. Antonyms for this phrase could include "ignores," "neglects," or "dismisses," which all imply a lack of interest or attention towards something. Other antonyms could be "disgusts," "repulses," or "revolts," which imply a negative reaction to something that would not make one turn their head. "Bores," "distracts," or "diverts" could also be antonyms, as they imply a lack of interest or attention being drawn away from something. Overall, the antonyms of "turns one's head" convey a sense of disinterest, dislike, or distraction towards whatever is being referred to.