Distant rhymes with:
assistant, consistent, existent, inconsistent, insistent, nonexistent, persistent, resistant, self-consistent, assistant, consistent, constant, contestant, decongestant, existent, extant, halperstant, inconsistent, insistent, instant, nonexistent, persistent, protestant, resistant, self-consistent
Distant sounds like:
decadent, decedent, destined, disdained, dissident, distend, distended