Yes it will work. I had the exact same sender.
There are 3 wires, being +ve, -ve, and signal. Now, your TCM is going to need the VSS signal also. You know you will also need a TPS for the TCM to work off? Here is a bit of a guide if you don't have it.
https://www.hotrodhandbooks.com.au/eBooks/btr%20install%20and%20wiring.pdfI also have some wiring schematics for the btr I can throw your way.
So for the VSS hall effect sensor:
+ve - This usually gets it's power from the cluster. I am not sure if it is 5v or 12v ignition. Pretty sure you can use 12v, but the TCM has a 5v output for the TPS anyway on one of the pins, so you could use this.
-ve Connect this to the negative wire of the sender
signal Connect this to the signal input on the gauge. This will also have to be connected to the TCM. You will need to add a pullup resistor for it to work. At jaycar, get a 10k ohm .25 or .5w resistor, and solder it in between the signal wire and a 12v ign wire. This will amplify the signal so the gauge /tcm gets a good signal. This is normally done at the cluster from factory.
The gauge itself will require an ignition 12v signal and ground, as well as 12v lights on power. I would add a connector for ease of cluster removal and use the same wires where you can.
Sort of like this