BBC reports Clare Nowland, 95, is in critical condition after an officer discharged the weapon at a care home in Cooma, New South Wales (NSW), on Wednesday.
Police say Ms Nowland had moved towards them "at a slow pace" with a knife.
NSW Police Commissioner Karen Webb said she was "not sure" why there were calls for the footage to be released.
"I am not sure why they want to see it," she told reporters at a press conference.
