Taylor clearly caught him with his hand, but Wilbraham's involvement didn't seem like it meritted a red card. However, it's been decided that the 24-year-old's innocence can't be proven so he will begin a three-match ban tomorrow.
Wilbraham told the Hull Daily Mail: "I thought we would appeal but having watched the video, I don't think I've got a leg to stand on because he [the referee] is going to say I raised my arm and caught their player.
"To be fair it does look like that and the FA would stand by the decision although I don't even think it was a worth a yellow card. I'm absolutely gutted."
Torquay have also decided against contesting Mr. Cable's decision, so Taylor will miss their next three games.
Wilbraham misses City's trip to Port Vale tomorrow, as well as the Oldham and Wrexham home games.