Hi, Dave. I have TN (dormant at this point), and had the C-19 vax last month without any related issues. I was given the Moderna vaccine, but haven't heard anything linking the Pfizer (or J&J) shot with TN.
Suggest you do the research, and if you find any connection to TN with a particular vax, avoid registering your wife for it, and simply choose one of the others. Fortunately, she has options which are becoming more and more available.