Burka ban on the horizon

"Integration Minister Rikke Hvilshøj is to investigate the legality of a possible banning of the Muslim Burka." DR
Couple of weeks ago I saw a woman in Cpenhagen dressed in a traditional Arabic nomad cloth,all in black and with her face as well (not quite sure whether it is called Burqa too.) Apart from being a very cool and beautiful cloth or rather costume, I thought to myself whether there is a law in Denmark to prevent citizens to appear in public places with covered face, being a mask or burqa or anything else. It seems that others were thinking about this too!
However apart from the anti-Islam frenzy in Denmark it is a big question whether it could be allowed or not that people can cover their face. What would happen if police stops a woman with burqa and wants to identify her? Would she show her face to the policeman or it has to be a policewoman?