He seems to be under the impression that these women (and girls – some are put under the burqa at eleven, twelve, years old) are able to make this decision for themselves. Maybe some are.
But UD finds it odd that Nawaz addresses not a word to the many men who make their wives and daughters wear burqas.
[W]e have no assurance that Muslim women put on the burqa or don the veil as a matter of their own choice. A huge amount of evidence goes the other way. Mothers, wives, and daughters have been threatened with acid in the face, or honor-killing, or vicious beating, if they do not adopt the humiliating outer clothing that is mandated by their menfolk.
It’s kind of like telling eight year old girls that they really should think twice before getting their clitorises removed and labia sewn up. Or fourteen year old girls that they probably shouldn’t get married. It might be better to address your concerns to their parents and guardians.