Where a trial has been scheduled in one case prior to the scheduling of another matter in another Court, or elsewhere, where an Attorney or Party has a conflict in date and time, the case first scheduled shall not be subject to a continuance because of the subsequently scheduled matter which is in conflict as to time and date except as follows:
(a) A subsequently scheduled case involving trial by jury in a District, Superior, or Federal District Court, or argument before the Supreme Court.
(b) Unusual circumstances causing the respective Courts to agree that an order of precedence other than the above shall take place.