So you are not able to power on the Wii using the Wiimote?
It's a bluetooth module, not wifi and this could be why you are not able to find anything.
If you have a savemii, and it is functional then it would not require the bluetooth module installed to operate. There's a video on youtube showing a Wii booting to recovery menu using a savemii with the bluetooth module removed.
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Perhaps you have bricked it in some other way, perhaps during the update you applied?
Regarding the Bluetooth module itself it's a small card slot just above the SD slot on the Wii mainboard. It looks very straightforward to remove and clip on.