Interesting idea magi, I like the simplicity. I wonder if it works
The most common NLP pattern that comes to my mind for this situation goes like that:
Imagine interacting with the person that creates anxiety.
Find in which place in your body does that feeling arise?
Imagine this feeling has a colour. If it had a colour, which one would it be? (it's different for everyone so just follow your intuition.)
Focus this feeling into a ball of your colour. Imagine it getting darker and smaller. Finally, take this ball with your hand and throw it far away. Let it dissipate in the vastness of the universe.
Think about something that gives you the feeling of confidence, certainty and security.
Find in which place in your body does that feeling arise? What colour does it have?
Focus that feeling. Imagine it getting bigger and brighter, finally overflowing every part of your body with bright, colourful light.
I'm not a certified NLP trainer yet, but I believe I got it right and it'll work for both of you
Have fun with it.
Ralph