An autonomous accessory support and system for transporting a medical accessory for delivering therapy that is coupled to a patient via a medical line. The autonomous accessory support comprises an accessory post for supporting the medical accessory. A movement module supports the accessory post for moving the accessory post relative to the patient. A tracking module is configured to track movement of the patient or a patient support apparatus relative to the autonomous accessory support and provide a tracking input signal. A controller is in electronic communication with the movement module and the tracking module. The controller controls the movement module to reduce actual patient proximity to a target patient proximity being a distance between the accessory support and the patient or the patient support apparatus sufficient to prevent tensioning of the medical line beyond a tension threshold. The distance may be a selectable preset distance maintained by the controller.