Antonyms for the phrase "be eager for" include "be indifferent to," "be uninterested in" and "be apathetic about." These words express a lack of enthusiasm or a disinterest towards something. The phrase "be repelled by" can also be an antonym of "be eager for," indicating a strong aversion or distaste towards something. Other antonyms include "be reluctant to," "be hesitant to," and "be daunted by," indicating a fear or lack of confidence in pursuing something. These antonyms reflect the opposite emotions and attitudes towards an object or situation, highlighting the varying levels of enthusiasm or aversion one can have towards it.