If a woman is forced to wear a burqa, and it is illegal to be in a public place while wearing one, that simply means that woman will not be going outside. This is straight up misogyny and will make life hell for some already extremely vulnerable women.
If you are going to violate freedom of expression anyway, why not do the sensible thing and criminalize the oppressors here? Make a law that imposes fines and mandatory feminism courses on anyone coercing women to wear anything, including by using religious arguments.
Like, apply this to any similar situation. Almost everyone agrees domestic violence is bad. Do we fine women for being in a public place with a black eye?