Hmmmm, something sounds fishy here.
My Ford Service wiring diagrams show that light green/red wire going from the alternator into the engine harness, thru the big 42 pin connector above the driver's side valve cover, then down to the top connector going thru the firewall under the master cylinder, up to the instrument cluster (thru the battery light) and back down to the inside fuse box to fuse #29 (5a - hot in start or run.) The only thing that is fed from behind the right side battery is the main black/orange power cable between the alternator and the starter relay. The other small wire (orange/lt blue stripe) also goes thru the 42 pin connector and to the power distribution box under the hood to fuse #6 (10A).
Maybe you fixed something different.
My truck has a small connector back near the right side hood hinge that's not connected to anything, but I suspect its for the Vacuum Pulse Solenoid for the auto locking hubs (which I don't have).