The 27-year-old opened the scoring with a penalty and, in a bizarre incident, ran down the touchline and knocked the Ross County manager down.
The Hearts player was shown a second yellow card for the incident and his principal hearing has been scheduled for May 8. He has until April 30 to respond to the charge, which relates to disciplinary rule 201: excessive misconduct at a match by knocking Derek Adams, manager of Ross County FC, to the ground.
Hamill will, in any case, miss the Edinburgh derby with Hibernian on Sunday. The match will be played at Easter Road and in front of 3600 Hearts supporters after the Gorgie club sold out their allocation of tickets.