The first set saw the two sides trade the lead until Shanghai's Zhang Yichan made a block helping shanghai edge out to take the set.
With the international break around the corner, that means the next time Hazard has a chance of playing would be in Madrid's home game at home to Cadiz on October 18th.
"[I'm] struggling to walk so that's a tell-tale sign that I should try to recover," she added.
Chelsea boss Frank Lampard benched much-criticized goalkeeper Kepa Arrizabalaga and replaced him with Willy Caballero, but his side trailed 3-0 at the break as Callum Robinson netted in the fourth and 25th minute and Kyle Bartley made it 3-0 in the 27th minute.
Miguel Angel Russo's men are now four points clear at the top of the Group H standings, with one match remaining before the knockout rounds.
Lincoln put the hosts ahead with a low strike after a counter-attack in the 26th minute and Fiorentina loanee Pedro capitalized on Gabriel Barbosa's unselfish slide-rule pass to double the lead on the half-hour mark.
With the result, Hoffenheim capture the top spot with two wins from two games whereas Bayern Munich slip to the 7th position after suffering their first loss in 2020.
"Our young players have got increasingly more opportunities which is reflected by an increase of playing time and goals," said Dong Zheng, general manager of CSL.
Due to several in-house scandals, the club has lost the support of many of its loyal supporters.
It didn't take too long for the former Inter Milan forward to add another as he slotted home in the 62nd minute after receiving Mbappe's fine cross.
Fujian was in lead in the start of the first set. However, Tianjin retook the advantage after scoring five points in a row. Fujian's frequent errors in receiving allowed Tianjin to a win.