The Terriers had not scored an away goal since the opening day of the season but Elias Kachunga, who was later carried off after suffering an apparently serious injury, gave them the lead only six minutes in.
The game appeared over when Laurent Depoitre made it 3-0 five minutes after half-time but Huddersfield were controversially reduced to 10 men when Jonathan Hogg was shown a second yellow just past the hour mark.
“They deserved this win, they were so brave on the ball and pressed them high. They were in their face and kept them away from our goal and didn't give them the chance to build up their fluid play.
“Aaron Mooy got a double, Laurent Depoitre scored again and Elias Kachunga got his first goal. There were so many great individual stories in this game, but for me the biggest story is this team performance."