Yes he does. Do minority women know they can complain? YES they do. Do they realize their complaints may not be correct in other people's eyes?
I ran a store years ago and one of my responsibilities was to let others know they had other options. While they had a right to be there, not abiding by our policies may mean they were not welcome. It wasn't racist, or sexist, or any other "ist". It was our policy, posted on a wall and printed on an invoice. If anyone didn't like it, they could leave. Some did on their own, some did it at my request and some were removed by the law.