Anderson, 34, has been charged with a Grade F offence, which carries a suspension tariff of at least eight matches.
Workington's James Robinson is also set for a lengthy spell on the sidelines, having been charged with a Grade D offence of punching and conduct contrary to the spirit of the game in the same incident.
He could be out for between four and eight matches, while Carcassonne's Tyrone Pay has been charged with a Grade B punching offence.
Halifax coach Richard Marshall has acknowledged that his team have not hit the heights this season, but have still shown signs of steady and positive progress.
Warrington coach Tony Smith has praised his side for never taking their foot off the gas against Wakefield and cruising through to the Challenge Cup final.