Town's leading goalscorer Vaughan was shown a straight red card by referee James Adcock for pushing Marcin Wasilewski to the ground after reacting angrily to the Leicester defender's initial challenge and will now serve a three-game ban.
"Unfortunately Vaughany has reacted to an incident," Dixon said after Huddersfield's 2-1 defeat.
"I felt the Leicester boy should be getting something too, because he's wiped Vaughany out just before.
"James knows himself that you cannot react by lifting your hands in this day and age.
"He could be out for a few weeks now, we will wait and see."
Vaughan will miss next Saturday's derby clash with Leeds at the John Smith's Stadium followed by the trip to Wigan on November 2 and the home game against Birmingham a week later.