West Brom were boosted by the sending off and turned the game around to lead 2-1 after goals from Roman Bednar and Ishmael Miller.
Keith Andrews then rescued a point for Rovers with a late strike.
Ince said: "The sending-off just ruins the game. After the penalty for us, the referee gave West Brom everything.
"Every free-kick just went straight to West Brom so, whether he felt he made a bad decision, I don't know. Everything seemed to go their way.
"The tackle from Benni for the first offence, there was no malice in it. He has gone for the ball. The second one, the ball has hit the top of his shoulder.
"He is not gaining an advantage, he is not stopping the opposition from scoring a goal. The referee couldn't wait to get the card out of his pocket. It was harsh and ruined the game to be fair.
"The game is hard enough at the moment. The Premier League is a physical league, it is fast and furious, and people are going to make tackles.
"Give red cards for dangerous and malicious tackles where the studs are up, fair enough. It is not a game for women.
"The two reasons McCarthy got sent off for are for nothing incidents and referees have got to be a bit more stronger than that."