Western society has been built on, among other things, openness (in the main). That means seeing the face of the one you are communicating with. Their facial expression tells you a lot and helps you better interpret the words they speak. We can't do that with Muslims who cover their faces.

Female UK Prime Ministers and even the Queen cover their heads when visiting Muslim countries. They do so to adhere to local custom. A custom that appears nowhere in the Quran and has no basis in Islam. I have yet to understand why Muslims can come here and keep to their custom of face covering for women, something which goes totally against Western custom.

One reason for not allowing the Burkha is that you can't tell if it is a man or a woman behind the veil.