In-form Felipe Anderson grabbed an equaliser for the east Londoners with a quarter of an hour remaining, this after Huddersfield - looking to record their second successive league victory - had taken a sixth-minute lead through Alex Pritchard.
West Ham, still without half a dozen key players through injury, have won only once in six league games on the road under Manuel Pellegrini and are four points above the bottom three.
The Hammers chief continued: "In the second half, we improved and got some chances but not enough to win it".
"It's easy to look at it and be a little bit disappointed with the result, but I would rather look at the week as a full", said the Dane, whose side clinched their first league win of the season against Fulham on Monday. They are always lifting us up and they know that at times it can be hard, but that we should be where we are and we're always proving people wrong. 'I can not spend the season without a goal. Now we must score the chances we create, or create even more chances'.
By then, Steve Mounie had already seen his bullet-header tipped onto the crossbar by Fabianski.
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The Taoiseach said: "A successful outcome is not guaranteed but I think it is possible in the next couple of weeks". Two ministers have told the BBC they believe there is little chance the deal would get Parliament's backing.
"The first half was a much better performance than the whole Fulham game".
Fabianski rescued the Londoners again in the 27th minute, diving low to his left to keep out a shot from Mounie, who should have scored after being set free into the box by Florent Hadergjonaj.
Chris Löwe suffered a shoulder injury and Wagner fears the Terriers will be without the left back for weeks: Chris Löwe looks to have a shoulder ligament injury.
The Irons head to the King Power Stadium on the back of successive 1-0 Premier League defeats either side of the global break.
West Ham dominated after the break and nearly turned the match on its head after the equaliser, when Issa Diop saw his thumping header cleared off the line by Aaron Mooy. Erik Durm drilled a long-range effort wide before fellow substitute Laurent Depoitre was a whisker away from making contact with two teasing crosses in stoppage time.
"I think that we played very bad in the first 45 minutes", the Hammers boss said. We know there is an exciting (fixture) programme we're going to face now.