The Scot struck twice in victory over Stoke City on Saturday.
Asked if he dropped the player to make him angry, Poyet said: "Yes, but I didn't do it for that reason alone. I needed to change something. He was not very happy for a few days but there were no problems.
"I am not a manager who will sit and accept things. You always try and help the team and I made a strong decision. It is not personal. It is always for the benefit of the team.
"The good thing is I am always looking for a way to win. It is not personal. It is always for the benefit of the team. We needed some presence in the box from players who really want to score. I needed hunger from players who wanted to score."
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