Yeah if you take a look at this one, it looks like the same thing but they properly describe the wire colours, I think you have just the black and white wires the wrong way around.
12V LED Daytime Running Light DRL Relay Harness Automatic On/Off Switch Control
Try swapping them (black from controller to drl-, white tapped to yellow/black wire), the fuse may have protected it? Otherwise it's only another couple of quid to get a new one, not the end of the world