The big Glenswilly man was only settling into the game when he was harshly shown a red card after he shouldered his marker in the 13th minute of the game.
Murphy caught his opponent in the chest but television analysis of the encounter showed the Murphy did not raise his hands.
Manager Jim McGuinness said later that they will be awaiting the referee’s report but will appeal the sending-off.
“We will await the referee’s report to see what he has to say but I think it was harsh. WE will be appealing it,” he said.
If the sending-off is upheld, Murphy will be banned for a month and will miss the vital semi-final encounter against Tyrone in two weeks time.
However former Donegal legend and BBC pundit Martin McHugh said he thinks Murphy could be given the benefit of the doubt.
“I think it will be appealed and I think Donegal have a good chance of getting the red card overturned,” he said.