How come "Mój mąż to dyrektor" wouldn't work as well?
It would but this reminds me well-known Polish movie quote "Mój mąż jest z zawodu dyrekrorem" (My husband is a director by profession): https://www.youtube.com/watch?v=d738Nvr6QCQ
Works. Just remember that this would be a film (or theatre) director. Why does English use the same word for those, I will never understand...