An off-duty doctor and nurse gave the 36-year-old first aid while a rescue helicopter rushed to Indian Head just after 2pm on Saturday.
French surfer Dylan Nacass,23,was surfing at Southside beach near Bells Beach on Friday when a shark latched onto his leg.
The 23-year-old man suffered severe injuries to his leg,hand and elbow in the attack near North West Island.
Are sharks blood-crazed man-eaters,or more like curious dogs? Before you go back in the water,try looking at yourself through the eyes of a great white.
Since the Queensland Shark Control Program began in 1962,more than 50,000 sharks have been removed from Queensland beaches at a cost of some A$3 million per year.
Mr Kelly pledged an additional 1000 rebates as part of the state government's world-first personal shark deterrent subsidy scheme,the equivalent to $200,000 in subsidies,on Monday.
The Queensland government has a back-up option if its shark control program appeal tanks.
Environmentalists have argued drones and education are a better way of protecting swimmers from shark attacks.
She was transferred to Cairns Hospital by the Royal Flying Doctor Service in a serious condition.
A man suffering"superficial wounds"reported he was bitten on Tuesday morning but the experienced swimmer managed to get out of the water.
Adam Maddalena and Glenn Lambert have caught,tagged and released 150 bull sharks in the past five years.