Can you say what it is exactly about the cold calling that brings up the fear?

Sometimes if we trace it and name it we can figure out how to turn it from an obstacle into something else, something helpful instead.

Has the outplacement counselor suggested writing up a script to use when you call? That can be reassuring to have in front of you. That's one example and it depends on what part of the cold calling you can identify as the part that makes the anxiety kick in or ramp up.

Good luck, I hope you find a wonderful job soon!