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Clearly angered by the red card decision, Bruce was asked to leave the dug-out after remonstrating with the referee.
He said the referee had been influenced by the highly-charged atmosphere.
"You always expect that it's going to be a good atmosphere and a decent place to play when you come here," said Bruce.
"But unfortunately when it influences certain people, with what happened, the sending off, then we find ourselves down to 10 men.
"I have seen it on television and I can't see anything wrong with it. I just hope the referee will have a look at the video evidence and admit he made a mistake.
"I think the tackle was okay, but Woodhouse was sent off and then they scored from the resulting free-kick and the chance to win the game went out of the window for us."
The game was marred in the first half when a meat pie and two plastic bottles were thrown at an assistant referee by Millwall fans.
Lions manager Mark McGhee, himself banished to the stands by the referee at the end of the first half for "losing the plot", condemned the incident.