Nearly three years to the day since manager David Wagner took over, the Terriers scored early-ish and held on to beat a flimsy Fulham side who slid to the bottom of the league upon the sound of the final whistle.
That ended a run of 658 minutes without a home Premier League goal for Huddersfield, who were replaced at the bottom of the table by Fulham as they moved up to 18th.
A fifth straight league defeat will naturally increase the already considerable pressure on Fulham boss Slavisa Jokanovic, who remains confident in his ability to guide the Cottagers to safety in the remaining 27 games.
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But Huddersfield's agonising wait for a goal at John Smith's Stadium was finally over in the 29th minute, making it 659 minutes in total.
"Over the last three years, and the starting point that we had, this has created a relationship (with the board) where we know we can only continue to be successful if we stick together, and if we have the right thing in our head", Wagner said.
"This is huge for us". We probably need more fight, more personality.
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"Last weekend [in a 3-0 defeat at Watford] we under-performed and did not look solid defensively, but we were better today and nothing is more important than the winning feeling and the happy faces in the dressing room and around the whole club". "It's massive for us".
Steve Mounie headed Mooy's cross tamely over soon after and Alex Pritchard's brilliant effort from outside the area was expertly clawed away by Fulham goalkeeper Sergio Rico.
Schuerrle shot off target again, while Town substitute Isaac Mbenza also spurned two half chances when sent through on goal in the closing stages.
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Love averaged team highs of 19 points and 13.5 rebounds before being shelved four games into the season. Drew had been negotiating a deal with the Cavaliers since they parted ways with Tyronn Lue .