By the look of it, the original connector has been chopped out of the loom. There should be a brown and a brown/white wire going to the indicator relay. I suspect you might find these original wires behind the insulation tape?
The stock relay position is circled. It hooks into the empty rubber slot you can see.
The LED replacement for the OE relay can be found
here on the OTR site. However, you'll have to source and OE connector, or make something up to get it to fit. (You can also find these relays on ebay for slightly less - like
this.)
Here's an image of an ebay LED relay connected up to the standard connector (although the relay isn't hooked on the slot as the OE one would be)...