While driving engine shuts off

Hi dear Danny L (and Joe too, for relevance), back to basics. In case you remember it, I once inquired about the 2 wires leading to the (Engine Coolant Temperature Sensor), I used a 2-pin connector and attached the available 2 wires colored as ( black and green) since I can't have a look at the sensor. Today I was checking another QUAD4 engine with plenty of access to see the sensor and I found that it has only one pin, the wire attached to its connector was green or dark blue-green may be. This way, I must have incorporated another wire that is irrelevant and this raises a question of( What if the black wire that I have no clue about was the one attached to the sensor's only pin instead of the green one? What could it be causing as it communicates with the ECM? I would have checked but there is no room to take a look. The Engine Coolant Temperature Sender is alright as per connection because it has a connector with 2-wires (black and yellow, just as your schematic diagram showed it- attached here with a red marking), I have no such diagram for the Coolant Temperature Sensor, hence the inquiry.

By the way: Is this the (Fusible Link) located in front of the engine lower part? I found it as I was searching for a short circuit within the huge harness in that part of the engine compartment.

A rather purple (light/pale- 1st attachment here) wire of a thick gauge coming through the main harness touring around the left side of the engine compartment and ending as a terminal in the relay (shown in the second and third attachments here). This relay is located on the front main frame that houses the head lamps and, it has 2 red wires leading to the starter motor solenoid along with other thick red wires coming within the main harness( see 4th attachment here).
What we have in the 1st image is a copper clip either connecting two pieces of this pale purple wire or having a fusible link may be (although your previously-sent schematic diagram says the fusible link is with a red wire), it does not lead to the alternator as you can see. Somehow, I have another loose end wire that is red and thick too (shown in the 5th attachment), it is a (cut off- reaching nothing) wire. I conducted a continuity test for this loose end wire and it came positive with the two thick red wires coming out from the relay shown in the 6th attachment( one of the 4 relays in the rearmost right end of the engine compartment neighboring the Fuel Pump Relay), this is said to be the Fan's relay (I am not sure).
One important question please: How can I trace the purple wire leading to the Oxygen Sensor? I have 2 purple wires flowing within the thick harness near the ABS unit. Where does the Oxygen Sensor wire reach so that I can check with a continuity test?

I apologize for the mixing I had done, it was because the technician who replaced my old burnt out Oxygen sensor attached the purple wire of the sensor to a loose wire that I doubt to be meant for the Coolant Temperature Sender. I will follow your instructions towards a new thread with extended apologies.

Lots of thanks to you and the rest of folks here. One kind gentleman did send me a diagram that showed an (A12) terminal to check for a continuity test. I am progressing slowly with a heck of a mess with my wiring but with this help from you it is a great achievement.