Judge Bill Hastings said hardship followed the arrest of any person.
"I accept there has been considerable media interest in this case because of the unique allegations that have been made."
However, he said claiming extreme hardship was a "very high hurdle" and he was not convinced that Hansen would suffer it if his name was published.
He declined Mr Antunovic's application for Hansen's interim name suppression to continue.
The relationship Hansen had with the women was suppressed.
Hansen has denied the charges, including using pliers to pull out a total of 12 teeth from three separate victims. He was arrested in December 2012.