Backing down from the controversial decision to ban burqas in Parliament's open public galleries will make Islamic extremists "smile", according to Jacqui Lambie.

The Presiding officers this morning overturned their controversial decision to segregate people wearing head coverings behind enclosed glass in the chambers.

"The decision today to allow burqas and other forms of identity concealing items of dress to be worn in Australia's Parliament will put a smile on the face of the overseas Islamic extremists and their supporters in Australia — who view the burqa or niqab as flags for extremism," the Palmer United Party Senator said.

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