The unnamed nurse has been suspended after she continued to show up for work at a Rockhampton nursing home despite having symptoms and while awaiting test results.
Questions are also being asked about a sightseeing road trip the woman took to Blackwater during the lockdown after Mr Turner died with the virus.
Mr Turner became Australia’s youngest coronavirus fatality on Tuesday, with authorities no closer to pinpointing how he contracted the virus.
He suffered from chronic illnesses and was later found to have the virus. A coroner will determine what killed him.
Deputy Premier and Health Minister Steven Miles says a formal investigation would get to the bottom of critical questions such as why the nurse didn’t reveal she had travelled to Kuala Lumpur in March.
“It appears to be incredibly unlikely that somebody wasn’t asked if they had travelled overseas when that is such a focus of our investigation efforts for all coronavirus cases,” he said on Friday.
He urged all Queenslanders to be truthful if they are contacted by health officials.
“Lives are literally at risk, our public health officials are doing their best to keep Queenslanders safe,” he said.
Chief Health Officer Jeannette Young said it was fortunate no one at the North Rockhampton Nursing Centre, where the nurse worked, had contracted coronavirus.
Queensland’s virus infection total stands at 1058 on Saturday from 192,062 tests conducted. Of those, 1045 patients have recovered.