The outspoken crossbencher,whose vote could be decisive on the contentious proposals,said the law on religious freedom could"stay as it is"given feedback she'd received from voters suggested they saw no need for change.
"They have more important things to talk about like homelessness,not enough jobs,public hospitals completely out of control,so it is not something that is feeding back from the electorate through to me,"she told the ABC. "They seem to be satisfied … nobody wants to talk about it."
The remarks challenge Mr Morrison's agenda in another show of influence by Senator Lambie,a day after shepromised to try to stop the government's draft laws to deregister rogue unions if union leader John Setka resigned.
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The government has warned against threats to religious freedom and issued draft laws to set up a new freedom of religion commissioner to protect those who suffered discrimination on the grounds of faith. In a repeat of the divisions over same-sex marriage,some members of the Liberal Party want new legal protections for religion while others are not convinced of the need for greater powers.
While Attorney-General Christian Porter argues the draft bill does not override state law,Senator Lambie said the plan could upset voters in her state of Tasmania.
The government also suffered a setback in its bid to impose random drug tests on welfare recipients after Senator Lambie raised new concerns about a lack of rehabilitation services linked to the plan.