"She is awake, not yet fully coherent but improving day by day," her father said.
"Yesterday she was still in intensive care but they are thinking of moving her to either an orthopaedic or neurosurgical ward. Then she is likely to be transferred to Burwood Hospital."
Ms Rhodes, a former Kuranui College student, has a doctorate in environmental science from the University of Otago.
She worked at Outward Bound and the Sir Edmund Hillary Outdoor Pursuits Centre before moving to live in Christchurch where she became the first woman to join the army's Adventurous Training Centre at Burnham Camp, working there for about three years.
Mr Rhodes said his daughter then decided she wanted a change of scenery and resigned her job in July.
Ms Rhodes had applied for a job in Edinburgh, Scotland, and an e-mail had arrived just after her accident, informing her she had been short-listed for the position and offering her an interview.
Mr Rhodes said, however, unfortunately that idea had to be scrapped.
Ms Rhodes's love of the outdoors follows on from her father's adventurous spirit.
Mr Rhodes has, among other adventures, trekked in Nepal, China and Tibet and is well remembered in Wairarapa for his regime, when working at the polytechnic in Masterton, of cycling to and from his Greytown home to work.
He said yesterday he would love to get a chance to see his daughter soon but, because of his own rehabilitation from knee surgery, had some "pretty serious work" to do on fitness first.