Kilmarnock have had their appeal against the red card shown to goalkeeper Cammy Bell upheld.
The keeper was sent off after being judged to have fouled Ross Draper in the penalty box during last weekend's 2-1 defeat by Inverness CT.
The Ayrshire side lodged an appeal against the decision made by referee Euan Norris.
Beill will be available to face Ross County at Rugby Park on Saturday.
Billy McKay's converted spot-kick proved to be the winner at Rugby Park.
Killie boss Kenny Shiels, who made an official complaint about the conduct of Norris,believed Bell was treated harshly.