Oxygen Sensor Input Wire

[plasgar]

I previously thought my ignition wire from the ECM was frayed by the PO. I was ready to splice in a new piece and when I cut out the bad section I learned it is the shielded oxygen sensor input wire from the ECM to the engine bay. Since it is the shielded wire I am now unsure what to do. Any help would be appreciated.

[plasgar]

[plasgar]

The oxygen sensor is disconnected in the engine bay. I am having difficulty with cold starts and the idle is not stable while cold.