The Millers were beaten in their opening two games of the campaign, conceding six goals, but they broke their duck in a clash which rarely looked like finishing anything other than goalless.
Preston, who are yet to concede this term following their promotion last season, had the best chance of the game when Bailey Wright headed against the crossbar late on, but Evans felt it was his men that shaded it.
The Scot said: “We will take our first point. The first 60 minutes is not a good game for either side, no side had any dominance, both sides just cancelled each other out.
“I just thought the game needed a spark. I think over the 90 we are very unfortunate not to win the game when you look at us laying siege to their box for large parts of the last 20 minutes, it is disappointing we have only got a point.
“But that’s a good Preston side out there. They had some heroic defending in their box, balls across the goal, they have had some heroic defending without the goalkeeper being called on.
“We have to take our point, get back on the training ground and get ready for QPR, which will be difficult but every game is difficult in this league.
“We know every point in this league is an achievement.”
Despite the Millers’ bluster they rarely looked like breaking a stingy Preston rearguard and their clean sheet means they are the only team in the Championship not to concede yet and it is the only time in their history where they have opened a season with three successive blanks.
They have taken to life in the second tier with aplomb following up a 0-0 draw with Middlesbrough and a 1-0 win at MK Dons with a point at the New York Stadium.
And boss Simon Grayson was pleased with how his men acquitted themselves.
“When you come to a place like this you have to make sure you fight and compete and that’s what we did,” said Grayson.
“We did say to the players at half-time that we have to pass the ball a little bit better.
“We turned over possession a little too easily but when we kept it we looked like we could be a major threat.
“It’s another game for us and another clean sheet and an opportunity for the players to grow in confidence with another positive result.”