Catalysis of 5-taurinomethyluridine in tRNA + a -S-sulfanylcysteine + ATP + a reduced electron acceptor = a 5-taurinomethyl-2-thiouridine in tRNA + a -L-cysteine + AMP + an oxidized electron acceptor + diphosphate + H+.
tRNA-5-taurinomethyluridine 2-sulfurtransferase