This duty of care can of course only be imposed by legislation, so effectively a Labour MP is calling for the Government or Parliament to legislate to regulate the media.
A number of journalists are fairly alarmed by this.
In a thread on Facebook Wall cites her unsuccessful judicial review of her complaint to the Human Rights Review Tribunal about an Al Nisbet cartoon. Having lost in court, she is saying she wants a law change so that such cartoons can be stopped in future.
Be afraid, be very afraid.