Callum Paterson smashed home a second half goal to put the Owls on their way to a vital three points, but more suspect defending from a set piece cost them dearly.
There were bright moments but the performance fell a little flat, with skipper Barry Bannan subbed off early.
With numbers ranging from a four to an eight, here are our ratings from a trudge of an evening at S6.
1. Barry Bannan with Stanleys Ethan Hamilton Pic Steve Ellis
Barry Bannan battles Stanley's Ethan Hamilton. Photo: Steve Ellis
2. Bailey Peacock-Farrell - 4
Didn't have much to do until he did. Looked flat-footed for Accrington's goal, which was a bit of a mess. Photo: Steve Ellis
3. Jordan Storey - 6
For the first time in a Wednesday shirt looked troubled, particularly in the air up against Bishop and Pell. Grew into things as the game went on. Photo: Steve Ellis
4. Dominic Iorfa - 7
Overcame a rusty touch or two early doors in what was his first start in 143 days. Unleashed a galloping run or two, which adds a different dimension to Wednesday's offering. Looked strong and healthy. Photo: Steve Ellis