Unfeeling rhymes with:
feeling, annealing, appealing, ceiling, concealing, darjeeling, dealing, ealing, feeling, freehling, frieling, healing, heeling, heling, keeling, kneeling, mealing, peeling, reeling, repealing, revealing, sealing, seeling, sieling, squealing, stealing, teeling, unappealing, wheeling
Unfeeling sounds like:
unappealing, unavailing, unbalance, unfailing, unveiling