Former Masters champion Reed carded a second consecutive six-under-par 66 to finish the second round at 12 under for the tournament at Albany Golf Club.
With temperatures reaching 40 degrees Celsius (104 Fahrenheit) during the Alfred Dunhill Championship in South Africa, organisers relaxed their strict rules against shorts.
The Frenchman's 12-under par 132 matched the lowest 36-hole score in the 11-year history of the European Tour’s season-ending championship.
He said he had been in constant contact with Woods since then, but now realized he needed "more time to heal."
Only Tommy Fleetwood, Jon Rahm, Shane Lowry and Matthew Fitzpatrick have a mathematical chance of usurping current leader Bernd Wiesberger.
The first golfers went on the course five hours late and some wore anti-pollution masks.
The delegation will be chaired by Fahad bin Nasser al Nuaimi, Secretary General of Qatar Golf Association (QGA).
The tournament series will span a period of 7 months and will be open to members of the golf clubs.
Hatton parred the fourth extra sudden-death hole to deny Austria's Matthias Schwab his first European Tour title in the most agonising fashion.
The journeyman US professional surged to victory by four shots at the Port Royal Golf Club course in Southampton after a spectacular birdie blitz on the front nine.
McIlroy had a one-stroke lead coming to the 18th tee of regulation play in Shanghai but nearly put his drive into the lake, and ended with a par.
Australia's Minjee Lee is in second place, with Germany's Caroline Masson third.
The 30-year-old Northern Irishman did not drop a stroke, and took sole possession of the lead with his last shot of the day.
The 30-year-old Northern Irishman's stellar season has propelled him up the world golf rankings, and although a victory in Shanghai won't push him past the absent Koepka, McIlroy said he's not finished.
Woods carded a final-round three-under 67 for a three-stroke victory over home favourite Hideki Matsuyama after play spilt over into Monday after Friday was washed out.