If you have a two wire supply and a two wire LED and it doesn't light, it would suggest one of the devices is faulty, I assume the supply to the transfirmer is correctly wired. As a long shot the LED is a diode so you could swap the wires round, however I would not expect it to make any difference
If I paid £3.27 for a lamp, power supply, remote and carriage I might think it had already exceeded its life expectancy