The plug shown in the first diagram is at the left side of the steering column, and the wire color is the same on both sides of that plug. The diagram doesn't show how it's connected to the instrument cluster, but the wire going up there should still be the same color. You can splice into that wire on either side of the plug.
The only other concern is the sending unit has to be matched to your gauge. Dash gauges are notoriously inaccurate and should only be used for you to notice when something is not normal. Since you're using the stock coolant temperature gauge, you'll want to use the original sending unit in the engine that came in the vehicle. If that is not possible because the threaded hole is the wrong size, you'll need to find a sending unit that fits and has the same resistance characteristics. This might take some searching since it's not a common type of repair. Where I would start is by looking on other engine sizes that came in your model, or for slightly older or newer years. The engineers would typically use the same dash gauges for all versions, so they would need sensors that had the same properties, even if the thread size was different.
You can also start out by measuring the resistance from the old sensor that doesn't fit and the new one that does fit. If they read roughly the same at the same temperature, that will be a good starting point.
Tuesday, December 10th, 2019 AT 5:20 PM