S.D. Codified Laws § 23A-43-15

In any case in which a defendant is detained after a court denies a motion under § 23A-43-14 to amend an order imposing conditions of release, or after conditions of release have been imposed or amended by a judge of the court having original jurisdiction over the offense charged, an appeal may be taken to the Supreme Court. Any order so appealed shall be affirmed if it is supported by the proceedings below. If the order is not so supported, the Supreme Court may remand the case for a further hearing, or may, with or without additional evidence, order the defendant released pursuant to §§ 23A-43-2 and 23A-43-3.