Indifference rhymes with:
difference, difference, conference, deference, difference, inference, preference, reference, beligerence, belligerence, conference, deference, deliverance, difference, endurance, exuberance, furtherance, ignorance, inference, intolerance, irreverence, preference, protuberance, reference, reverence, self-deliverance, severance, temperance, tolerance, utterance