The Judicial Council is the highest judicial body or "court" of The United Methodist Church. Its nine members are elected by the General Conference. The Judicial Council determines the constitutionality of acts or proposed acts of the General, Jurisdictional, Central, and Annual Conferences. It acts on these either on appeal of lower rulings or through requests for declaratory decisions. It also rules on whether acts of other official bodies of the denomination conform to The Book of Discipline. This is done in accordance with procedures established in The Book of Discipline.
As you can see - if the council is not well balanced then it may sway "to the left" or "to the right" - much like the US Supreme Court.