It is not right for government to tell women what to wear, British Prime Minister Theresa May said on Wednesday, after the European Union's top court ruled that companies may ban staff from wearing Islamic headscarves under certain conditions.

The Court of Justice's ruling on Tuesday, which also applied to other visible religious symbols, set off a storm of complaints from rights groups and religious leaders.

Asked about the ruling, May told parliament: "We have ... a strong tradition in this country of freedom of expression, and it is the right of all women to choose how they dress and we don't intend to legislate on this issue."

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