A wireless audio device includes an audio streaming unit to wirelessly transmit an audio signal to a remote hearing device such as a hearing aid or a cochlear implant. A remote control unit to wirelessly controls the remote hearing device, a battery monitor determines a power level of a battery and provides a battery state signal indicative of the power level of the battery. A power management unit deactivates the audio streaming unit when the battery state signal reaches or falls below a first threshold and deactivates the remote control unit when the battery state signal reaches or falls below a second threshold, wherein the first threshold is higher than the second threshold. Also described is a method of operating such a wireless audio device as well as a hearing system including such a wireless audio device and a remote hearing device, such as a hearing aid or a cochlear implant.