Wakefield coach Richard Agar was proud of the effort his players put in with only 12 men and believed his charges could have pushed Wigan further with a full set of players.
Agar saw Trinity trail 10-0 before Justin Poore was sent off for punching Liam Farrell, but they never gave in and pushed Wigan in the second half.
He said: “During the last 15 or 20 minutes we spoke about it on the bench that we were a bit disappointed we didn’t get a good crack at them with 13 or 17 men.
“I thought we played some good stuff at times and the 12 men made it a difficult contest.
“It is hard enough to come to Wigan at any time of the year.
“To go down to 12 was a big blow especially after 10 minutes. I was extremely proud of them.
“For the team to post more points than anybody has scored against Wigan with only 12 men on the field is probably a good reflection on some of the stuff we played.”
Agar had no problem with the sending off, adding: “It was a sending off, no arguments about that.
“It’s not the 1980s you can’t do that sort of thing.”
On the field, Sam Tomkins grabbed a hat-trick of tries as Wigan went back to the top of Super League.
The home side raced into a 10-0 lead with Iain Thornley and Anthony Gelling crossing but the Wildcats attempted to make a game of it despite receiving a devastating blow.
Prop forward Poore was shown a red card for throwing a punch at Liam Farrell but Vince Mellars and Richard Mathers crossed in the space of two minutes to give Trinity a shock 12-10 lead.
However, Thornley managed to cross for his second try before further scores from Sam Tomkins, Darrell Goulding and Farrell saw the Warriors lead 30-12 at the break.
Further scores in the second half for Gelling and Tomkins put the Warriors further ahead, but tries from Lee Smith and Paul Aiton kept the score respectable before Tomkins finally got his hat-trick with a fine solo effort.
Wigan Warriors: S. Tomkins, Thornley, Goulding, Hughes, Gelling, Green, Smith, Crosby, McIlorum, Flower, Tuson, Farrell, Burke. Subs: Dudson, Taylor, Powell, Spencer.
Wakefield Trinity Wildcats: Mathers, Fox, Collis, L. Smith, Cockayne, Sykes, T. Smith, Poore, Aiton, Wilkes, Annakin, Mellars, Washbrook. Subs: Raleigh, Wood, Lauitiiti, Amor.
Referee: Robert Hicks (Oldham).