The Tykes had the better chances until Keith Southern put the Terriers in front after 29 minutes and it was one-way traffic after that.
Wilson said: "Football is cruel sometimes. We are going to have bad days and this was a bad day but we need to knuckle down in training and make sure we don't give easy goals away.
"The goals we gave away were poor and we need to be more resilient."
Wilson expects an angry response after heated exchanges between fans and players and said: "The fans are passionate and you can't argue with the fans because they follow the club through thick and thin.
"We will get the flak, especially from our fans, but we have to take it on the chin."
Barnsley remain in touch at the bottom and Wilson added: "If you can find a silver lining from a 5-0 defeat then it is that it might not look as bad in the morning.
"I am frustrated and disappointed but it won't get me down. We don't have time to feel sorry for ourselves."
- Sports & Recreation
- Keith Southern