Jakupovic had been leading Switzerland's Stefanie Voegele when she began coughing and sunk to her knees, unable to continue.
"When we find doctors who say that playing at 45 degrees is not risky at the [Australian Open] and referees who say that the wet grass is not slippery at Wimbledon, we must be able to find an expert who certifies that the air quality is sufficient, right", Simon tweeted.
A local resident commented that the air quality was none like they had seen before, and another said of the tennis match "I think it was pretty ridiculous that they had to play". "During the period of when we suspended practice and restarted the matches there was an improvement in the conditions".
Australia is experiencing one of its worst bushfire seasons on record, with fires burning for months and killing 28 people, destroying more than 2,500 homes and razing forests and farmland the size of Bulgaria.
Air quality is expected to improve with the rain showers but the weather is likely to cause more delays to the Australian Open schedule, creating further headaches for 21organisers.
Mandy Minella, the world number 140 from Luxembourg, also voiced her opposition on Twitter. "What about the health of all the people that have to work out there, especially the ballkids?"
Play eventually got underway at 11am - an hour later than planned - after the city's air was the worst quality in the world overnight because of the bushfires in the state's east.
The umpire in Sharapova's clash with German Laura Siegemund at the Kooyong Classic determined the conditions were too unsafe to continue.
"After two and a half hours that was the right call for me". "That's why I went on the floor".
"Obviously this is not pollution it's smoke so it's a bit different to what we are used to".
The decision to play in the smoky conditions was criticized by fans and players, who lambasted the tournament bosses for putting the players' health at risk.
Racing Victoria (RV), the state's governing body for thoroughbred racing, chose to scrap a meeting in Melbourne's western suburbs as the smoke haze made conditions unsuitable for racing.
"If smoke infiltrates the three stadium courts, the air conditioning system will filter it out".