Fans had flocked to the John Smith's Stadium for what was Jan Siewert's first game in charge but he endured a nightmare start on Tuesday night as his team fell 1-0 down inside three minutes after a fine team move from the Toffees.
Bernard and Tom Davies combined down the right wing before the latter picked out Richarlison. The Brazilian saw his first shot saved by Jonas Lossl but the rebound fell straight back into his feet and he wheeled away in delight after firing home.
The two teams then cancelled each other out for the next 30 minutes before Gylfi Sigurdsson tried his luck with a volley from the edge of the box. He was denied by a late block, just before right-back Seamus Coleman wasted a good opportunity after a determined run.
The Republic of Ireland star wrestled his way into the area before blasting wide and that signalled the end of the first half.
In the second half, Siewert introduced Aaron Mooy into the game, while Leighton Baines was forced off with a hip injury. His replacement Lucas Digne had barely got enough time to settle into the game before he was shown a straight red card.
The left-back bundled into the back of Adama Diakhaby on the edge of the area and the referee had no choice but to send him to the stands.
Despite having a man advantage, Huddersfield wasted a number of chances, with Steve Mounie heading wide. Elias Kachunga then saw his header saved spectacularly well by Jordan Pickford and Marco Silva's men held on to win the three points.