A method for operating a hearing device worn by a hearing device user. The method includes picking up an audio signal (a) by an input transducer of the hearing device. The audio signal (a) includes a source signal (s) of a sound source (SS) and a disturbing signal (d) of a disturbing source (DS). The method also includes receiving a transmission signal (d_AIS) via an interface unit of the hearing device. The transmission signal (d_AIS) includes the disturbing signal (d) or at least characteristic features of the disturbing signal (d). The method also includes at least partially eliminating the disturbing signal (d) from the audio signal (a) by using the disturbing signal (d) transmitted by the transmission signal (d_AIS) or by using the characteristic features of the disturbing signal (d) transmitted by the transmission signal (d_AIS) for obtaining an adjusted audio signal (a*), and processing the adjusted audio signal (a*).