Mystery wire on 66 C10 with delux heater and AC

[Metalaroundstone]

I have a mystery wire on that I am hoping someone can identify. The wire shown in the attachment was coming from the heater fuse in the fuse box to approximately where the fan switch is. However, the fan switch was connected to the brown wire from the ignition switch, through what looks like a make-shift resistor made of a thin peice of metal. It got very hot when the heater fan was on.

My thinking is this mystery wire should be the one that goes to the fan switch, but the white connector on the wire would need to be eliminated.

I was thinking of running a new brown wire directly from the heater fuse to the heater switch, which is what I think is suppose to happen. Or is this connector supposed to connect to another pre-heater switch resistor, or something else, that is missing from my wiring?

I would appreciate any guidance on this.
Thanks
RT