Hiddink, who replaced Jose Mourinho as Chelsea boss earlier this month, has so far won once and drawn twice during his three games in charge, and may look to make some moves in the transfer market in January, as he attempts to stop the rot at Stamford Bridge.
One player who could leave the club is striker Loic Remy, who has solely served as cover for Diego Costa ever since his 2014 move for local neighbours Queens Park Rangers.
The French hitman, 28, has hit 12 goals in 40 games for Chelsea, but may be seeking more regular first-team football having failed to earn a consistent run in the Chelsea side.
There will be plenty of interest in him if he does leave, as Aston Villa boss Remi Garde - who worked as a coach at Lyon during Remy's time with the Ligue 1 giants - confirmed to BBC Sport on Wednesday that he would love to take Remy to Villa Park in a desperate bid to achieve Premier League survival.
"Loic is special. He knows the country and league, and would be an interesting player for the team," Garde said when asked whether Villa would be signing the striker.
Now though, those comments have been met angrily by Chelsea manager Hiddink. As quoted by the Daily Mail, the Dutchman says that Garde has been trying to 'go through the side door' by essentially tapping up Remy, and says Villa need to go through the proper channels to sign the forward.
"You have to respect where the players are. If you are interested, talk first to the people with whom they are contracted," said Hiddink. "The player has signed a contract here and must be fit for us, he has a calf problem. He's having a difficult time with injury."
"He has to prove first of all that he's a good Chelsea player. Things must be done if you want to reinforce your squad. You talk directly to the management of the club who owns the player. You don't go through the side door," he added.
Villa sit bottom of the Premier League table with just eight points from 19 games, and lie 11 points adrift of safety. Garde needs a miracle to keep Villa in the top flight, and maybe he's hoping that Remy can be the man to provide the goals - but having angered Hiddink, he may have squandered his opportunity to land the Chelsea striker.
Would Remy be able to save Villa?
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