Hawzah News Agency (London, UK) - The former foreign secretary has so far defied mounting calls for him to apologize for the comments.
May said the remarks "clearly caused offence" as she told him to say sorry.
She said: "Some of the terms Boris used describing people's appearance obviously have offended.
"So I agree with Brandon Lewis.
"What's important is do we believe people should have the right to practice their religion and, in the case of women and the burka and niqab, to choose how they dress.
"I believe women should be able to choose how they dress."