A ‘dreadful goal’ cost Town the chance to become the first visiting team to win a league match this season at Ewen Fields.
But overall boss Neil Aspin was happy with the way his side responded to the setback as they claimed a deserved point away to Hyde.
Having led 1-0 at the break through a James Dean strike, the Shaymen conceded a goal little more than a minute into the second half after hesitancy at the back.
But Aspin said lesser sides might have folded having conceded a goal in such circumstances.
“It was a disappointing start but the important thing was that we didn’t buckle,” he said.
“I have seen sides concede a goal to Hyde this season and buckle.
“It was a dreadful goal to give away straight after half time and it put us on the back foot when we should have been comfortable.”
There were heated exchanges between a group of Town players after the final whistle.
But all was well again by the time they left the field and Aspin said it had been a discussion about the Hyde goal.
“Let’s just say there was a disagreement between some players as to whose fault the goal was,” he said.
“You don’t want a team of mutes with no one saying anything and if you concede someone has to take responsibility.
“It is a man’s game and sometimes things have got to be said.
“Sometimes it is better that the players say it rather than the manager.
“But you say it and you move on to the next game. There is no time for dwelling on it.
“It was a goal we should not have conceded but, to be fair, over 90 minutes we have restricted them to very few chances.”
The Shaymen had been the dominant force in the opening half, forcing the home side onto the back foot.
“The first half was very good. The players did what I asked of them and carried out the instructions very well,” said Aspin.
“We spent a bit of time on Thursday going over what I felt we needed to do to get a result.
“You have to be pleased because I know how good Hyde have been this season.”
Town had a glorious chance to win the game in the final minute when loan signing Matty Crooks found himself free eight yards from goal.
But the Huddersfield Town youngster – on as a substitute - scooped his shot over the bar.
“Anyone can miss a chance,” said Aspin. “It just would have been nice for him to come on as a sub and get the winner.
“But they could have gone to the other end and equalised – you never know in football.
“In possession his feet were good and he kept the ball.
“It is a difficult step for him to come out of a youth team but you could tell he had some nice touches.”
Saturday’s point was enough to see the Shaymen climb up to third, replacing Guiseley who were beaten 2-1 at Gloucester City for whom Darren Edward bagged a last gasp winner.
Second placed Nuneaton went down 3-1 at Gainsborough Trinity who are now fifth.
Stalybridge Celtic dropped out of the top five after losing 3-2 at Boston United.
Seventh-placed Altrincham also lost, going down 2-0 at home to Bishop’s Stortford, who are at the Shay tomorrow.