Bury boss Andy Preece criticised the decision to dismiss Jamie Stuart during the goalless Third Division play-off against Bournemouth.
Stuart's nose was broken in the incident which saw him sent off
Stuart was sent off in first-half injury time at Gigg Lane for retaliating to a late challenge by Wade Elliott, after the hosts had dominated the opening 45 minutes.
But Preece said he was unlikely to appeal against the decision, which rules Stuart out of the return leg at Dean Court and the final if Bury get there.
"I've appealed against more straight-forward ones than that and lost," said Preece.
"We're only Bury Football Club. You don't really get away with appeals to the FA when you're Bury Football Club.
"I very much doubt if it's worth the money it'll cost to appeal."
Preece admitted he was dissatisfied with referee Jeff Winter's explanation for the dismissal.
The official said Stuart, who was left with a broken nose after being hit by Elliott's elbow, had thrown a punch.
However, the Bury boss criticised his player for a lack of discipline and claimed he had made it easy for Winter to send him off by raising his hands.
"I thought Jeff had a really good game but that's a crucial decision when you've played 46 games," said Preece.
"To see a player go off is disappointing, especially because I can't see why he thinks Jamie has punched him in the face.
"But it's a difficult one because if you raise your arms you're in trouble.
"There's no excuse for Jamie to do what he did. He'll know about it, don't worry about that, but the explanation from the ref doesn't add up with what you see on the video."
The red card came in injury-time after a first half which had seen Bury thoroughly outplay Sean O'Driscoll's side.
Colin Cramb and Martyn Forrest had both come close to opening the scoring, but the dismissal gave the Cherries some much-needed respite.
Now the south-coast club look favourites to progress to the final ahead of the second leg on Tuesday.
However, the Bournemouth manager denied his side had gained any advantage from the result at Gigg Lane.
"I'm sure that Andy and his players will relish coming down to our place," said O'Driscoll.
"They've got one of the best away records in the league. They'll fancy themselves and they've got some pace up front. It's up to us to dictate the way we want the play.
"The problems are thrown on us now, but you've got to settle for a 0-0."