If you have A/C in the car, turn on the A/C, and set the fan control for the vents to a position besides 'off'. The radiator fan should come on, along wiuth the compressor. The car has to be running for this
If this is ok, then the problem is the sensors in the head - there are two, one controls the fan, the other controls the temperature gauge. Not expensive to replace both - they're like $10 a piece - and it's easy too - let the car cool totally, use a 13mm (?) deep socket, and put a dab of thread sealer on the threads of the new one.
The fan's controlled by the computer - and the computer turns it on via a relay. If the A/C check didn't turn on the fan, then the fan relay is bad - the fan ALWAYS runs when the A/C is on. If you want to get rid of the temp wiring you put in, and the A/C check works, you can unplug the compressor lead at the compressor, so it won't go on, and you can turn on the A/C to turn on the fan. Of course, it's better to replace the sensors
Don't forget to check the obvious - the fan fuse

And, IIRC, the fan relay's the same as a few others, so you can swap two relays and see if the fan works. Then it's just a relay - easy check.
If you're good with a meter, you can check the wires to the relay and the power for it, too.