From the Copenhagen Post:

Politicians at parliament are prepared to give employers the right to ban Muslim niqab and burka veils for employees as a result of yet another incident involving the culture clash between conservative Islam and the West. Odense municipality requested that the Ministry of Consumer and Family Affairs rule on a case where a Muslim woman refused to remove her veil for her job as a family care worker. Odense indicated it was not certain whether it had the authority to reject the woman as a legitimate caretaker on the grounds of her veil under the existing provisions. Politicians had already been in an uproar over an incident last week where a Muslim parliamentary candidate indicated she would continue to wear her headscarf if she were elected. The niqab covers all of the wearer’s face except the eyes…Conservative leader Bendt Bendtsen made it clear that his party would not accept family care employees hiding their faces from their charges…Bendtsen has the backing of the prime minister, Anders Fogh Rasmussen, who believes public institutions should be able to determine the dress of their employees…”I personally believe it’s quite fair that children should be able to see who is caring for them,” said the prime minister.

Seems reasonable to me.