Burnley boss Sean Dyche. (Photo by Ian MacNicol/Getty Images)
Wilson’s sixth goal of the season on 40 minutes earned Eddie Howe’s side their first victory this term at the 15th attempt.
The Clarets players appealed for a foul on Nick Pope when he spilled Joe Willock’s cross under Fabian Schar’s presence before Wilson fired home.
VAR checked the goal and agreed with referee Paul Tierney’s on-field decision.
The 1-0 scoreline saw United move off the bottom of the Premier League table and also record their first clean sheet.
What Sean Dyche said about Wilson’s opener
Dyche said: “At the time you think it is a possible foul but having looked at it after the game, it is a clumsy challenge but not necessarily a bad challenge.
“It just bounced out of Pope’s hands after he took it so well. Their player reacted quickly and it was a good finish.
“Some of the quality was really pleasing but goals change the feeling of games, not just the scoreline, and I felt it did for them.
“It gave them something to fight for and hang onto and changed the feel in the stadium and crowd because they looked really nervous first-half and we didn’t.”