Stand-off Stefan Ratchford scored a try in each half and former Huddersfield captain Brett Hodgson finished with 16 points for the Wolves as they closed the gap on the Giants to a single point with a 28-2 victory.
"It was tough, good old-traditional winter rugby league," said Smith. "It was probably as well that the cameras weren't here because they wouldn't have been able to see the ball."
He went on: "You've got to compliment everybody who was out there - both sides and the officials - because the conditions were extreme. The players really did put their bodies on the line and our boys handled the conditions exceptionally well.
"Our defensive effort was enormous. To keep a team try-less is no mean feat. The big boys in the middle did a fantastic job and those fast backs came in and finished it off."
Huddersfield coach Paul Anderson had no complaints over the result, conceding that the home side coped better with the conditions.
"It was pretty extreme out there," he said. "I thought every person who turned up today deserves some credit. Those that travelled across the Pennines deserve a medal and probably deserve a bit better than we gave them.
"We had a couple of lapses here and there and good sides take advantage of that. I also thought Warrington defended really well.
"I'm glad we played the game, although I'm not chuffed with the scoreline.
"We came here to do a job but we never really got going. I am blaming the conditions a bit but the sheer weight of possession got us in the end. Warrington handled the conditions better than we did. We were beaten by a better team on the night."
- Sports & Recreation
- Brett Hodgson