Unelected rhymes with:
deflected, recollected, uncollected, defected, deflected, dejected, disaffected, disconnected, disrespected, ejected, inspected, interconnected, interjected, intersected, misdirected, recollected, reconnected, redirected, rejected, respected, resurrected, subjected, unaffected, uncollected, unconnected, uncorrected, undetected, unexpected, uninfected, unprotected, unsuspected
Unelected sounds like:
unallocate, unallocated, unleashed, unlisted, unlocked, unmolested