Already happened in Denmark.

> The final passage of the bill makes the niqab and burqa illegal to wear in public in Denmark. The hijab, as it refers to body coverings in general, many times a headscarf and does not require the face to be covered, remains legal (as long as there is no face covering)

https://www.humanrightscentre.org/blog/denmark-and-burqa-ban#:~:text=The%20final%20passage%20of%20the,there%20is%20no%20face%20covering).