Clare Nowland was critically injured when police responded to reports she was wandering her care home with a knife around 4am on Wednesday.
Amid public outcry, critics have called the response by police and care home staff disproportionate.
An investigation into the incident continues, as Ms Nowland receives "end of life care" in hospital.
In a statement on Tuesday, New South Wales (NSW) Police said the 33-year-old senior constable who Tasered Ms Nowland has been stood down, with pay.