Labor senator Malarndirri McCarthy accused independent Lidia Thorpe of making her feel "culturally unsafe" after slurs were hurled against her.
Senator Thorpe deliberately used "derogatory words designed to damage me personally and professionally", the Indigenous senator told the chamber on Wednesday.
The Senate moved to end early after independent Lidia Thorpe yelled her speech over a Labor senator. (Lukas Coch/AAP PHOTOS)
The comments by Senator Thorpe - also an Indigenous woman - "referring to me as 'native police' carry negative historic stereotypes to increase hatred towards me and by extension, my family", Senator McCarthy said.
"I am very proud of my uncle, one of the longest-serving police officers, liaison officers and police trackers in the Northern Territory and I am proud of his daughter who has followed in his footsteps.
"The communication and dialogue into the Senate towards me and my family is reprehensible."
Senator Thorpe had also targeted Senator McCarthy for being part of a government that had given "black money to the police dogs".
The independent earlier copped a dressing down from the Senate's president after her actions forced the chamber to suspend on Tuesday night when she refused to stop yelling.
Senator Thorpe continued to interject and yell her speech over a Labor senator after confusion about the order of speakers which resulted in the government adjourning the Senate early.
She had been given a later spot during the open-ended debate when she missed hers due to the speaking order being brought forward after senators had failed to show up to their allocated times, the government said.
That clarity was not provided, Senator Thorpe said.
The Indigenous senator tried to speak about the death of her cousin Josh who died in custody.
Delivering the speech on Wednesday, she read a statement from Josh's mother.
Senate President Sue Lines has slammed Senator Lidia Thorpe's conduct. (Mick Tsikas/AAP PHOTOS)
"Josh entered the system as a baby - 32 years later that system took him from me forever," she said
"His children will now grow up without their father.
"Their trauma will be that their dad died crying out for help as prison staff ignored him."
President Sue Lines slammed the senator's conduct in a rebuke on Wednesday.
The president had ruled Senator Thorpe would no longer be heard but was ignored by the renegade independent.
Senator Lines called the incident "appalling" and "unruly".
"It is never in order to yell at other senators, and it is never in order to yell over the top of another senator," she said in an address to the chamber on Wednesday.
Adjournment speeches in the Senate allow anyone to speak on any issue before the chamber ends for the day.
There are no caps on the number of speakers on Tuesday nights.
Senators cannot be kicked out of the upper house by the president, with a vote needed to remove someone from the chamber.