Robins claimed the Leicester man elbowed Vaughan before the striker reacted and was dismissed by referee James Adcock.
"There should have been two red cards because there was a definite elbow thrown by Wasilewski," said Robins.
"Vaughan has felt aggrieved about that and although his reaction was not great, if there were red cards there should have been two, not one."
In an action-packed match, Leicester took the lead with a fine strike from Jamie Vardy in the 10th minute and added a second in the 38th minute. Trying to clear an inswinging corner from Anthony Knockaert, Huddersfield defender Anthony Gerrard headed the ball into his own net.
But it needed a fine performance by Kasper Schmeichel to keep battling Huddersfield at bay. He pulled off three great saves in the first half, two of them from Vaughan.
Then an own goal from Paul Konchesky, who deflected Sean Scannell's shot into the net in the 67th minute, gave Huddersfield a lifeline but the home side held on.
Robins acknowledged it was a game that could have featured many more goals, but suggested his side would not have been flattered by a draw.
He added: "I think the game was too open for both managers but I think everyone will agree that it was a good game to watch.
"But it is about picking up points at the end of it and we were unlucky not to do that. I think there were some really good performances and we passed the ball well in the first half.
"There are just one or two elements that we are short of in the first half.
"In the second half we knew if we got a goal they would be on the back foot and that's what happened.
"Then we lost James and things changed from there. But having said that the goalkeepers were on top today. I think they were in great form and Kasper Schmeichel made one unbelievable save at the death from Duane Holmes.
"But some of the football we played was excellent. We have been good value for a point and were unfortunate not to come away with anything."