Iain Brines controversially sent off Myrie-Williams during Sunday's 2-0 Clydesdale Bank Premier League defeat at Tannadice, with United manager Peter Houston accusing the referee of confusing the winger with midfielder Prince Buaben.
Substitute Myrie-Williams had been on the field a matter of moments when he was booked for a 65th-minute challenge on Aiden McGeady.
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Hide AdTwelve minutes later, he was shown a second yellow card for a tackle on Landry NGuemo, with Brines indicating it was for persistent fouling.
Houston believes Brines thought Williams was team-mate Buaben and an appeal on grounds of mistaken identity looked likely. But it is understood the referee deemed both Myrie-Williams' challenges as bookable offences in any case, meaning the player has no right of appeal.
Myrie-Williams and Buaben's team-mate Morgaro Gomis weighed into the row over the incident, describing Brines' handling of it as "embarrassing".
"I think it is bad if you think about it – and it is embarrassing," he said. "Jenno came on and he only gave one free-kick away and got a yellow card. Then the referee gave him another one and told him he'd had so many free-kicks.
"He did not deserve it. I think the referee was mixed up between me and Prince Buaben because we had given away some free-kicks.
"I did go up and I told him that Jenno had only given one away, but the referee was pointing that he gave away a free-kick over there and over there."