Mooy showed the toughness that earned him player of the season honours in the Terriers' promotion campaign, highlighted by a challenge on Luka Milivojevic which set up his side's best chance of the first 20 minutes as Tom Ince attacked down the left.
Burnley's win, their first at Chelsea since 1971, further blackened the mood around Stamford Bridge after a close season during which Conte has grown frustrated by his club's lack of transfer activity.
And Chelsea fans were utterly convinced they were back under Mourinho's curse.
Burnley actually had the ball in the back of the Chelsea net in the 19th minute when Vokes headed home from close range, but the goal was disallowed, much to the relief of the home side's supporters.
Chelsea head coach Antonio Conte insisted yesterday he was "not looking for sympathy" over the size of his squad.
One of the issues is that striker Diego Costa, last season's top scorer, remains in exile.
Next up for Chelsea is a tricky trip to Wembley to face Tottenham Hotspur next weekend.
"The first half pleased me because they go to 10 men, but it's not easy".
"I am not anxious because we have to trust in our work and today there were three injured players, Pedro, Hazard, Bakayoko, one player missed for a ban in Moses".
Manchester City manager Pep Guardiola had some £150 million (RM834 million) of new recruits on display at Brighton, but it took the pre-season favourites until the 70th minute to take the lead.
'If the club decides to loan out players for their development it is because they're not ready to play for Chelsea'.
As a result of the Spanish worldwide moving out to the flanks, Antonio Rudiger comes into the back three to make his competitive debut alongside David Luiz and captain Gary Cahill.