A hearing device configured to be located at or in an ear, or to be fully or partially implanted in the head at an ear, of a user, the hearing device comprising • a multitude of input transducers (M ITE1, M ITE2; M ITE11, M ITE12, M ITE2; M BTE1, M BTE2, M ITE1, M ITE2) for providing respective electric input signals (IN1, IN2; IN11, IN12, IN2; IN BTE1, IN BTE2, IN ITE1, IN ITE2) representing sound in an environment of the user, wherein the hearing device is configured to provide each of said respective electric input signals in a time-frequency representation (k,m) as frequency sub-band signals X i (k,m), i=l,..., M, where M is the number of input transducers, where k and m are frequency and time indices, respectively, and where k=l,..., K; • an output transducer (SP; SPK) for providing stimuli perceivable to the user as sound based on said electric input signals (IN1, IN2; IN11, IN12, IN2; IN BTE1, IN BTE2, IN ITE1, IN ITE2) or a processed version thereof (Y BF; OUT); • an adaptive beamformer filtering unit (BFU; BFU1, BFU2) connected to said multitude of input transducers and to said output transducer, and configured to provide a spatially filtered signal (Y BF) based on said multitude of electric input signals and adaptively updated beamformer weights; • a feedback estimation unit providing feedback estimates (EST1, EST2; EST2, ESTBF; EST BTE1, EST BTE2, EST ITE1, EST ITE2) of current feedback paths from said output transducer (SP; SPK) to each of said input transducers (M ITE1, M ITE2; M ITE11, M ITE12, M ITE2; M BTE1, M BTE2, M ITE1, M ITE2); wherein • at least one of said adaptively updated beamformer weights of the adaptive beamformer filtering unit (BFU; BFU1, BFU2) is/are updated in dependence of said feedback path estimates, and CHARACTERIZED IN THAT the adaptive beamformer filtering unit (BFU; BFU1, BFU2) comprises a first set of two beamformers: a) a first beamformer C 1 which is configured to leave a signal from a target direction substantially un-altered, and b) a second beamformer C 2 which is configured to substantially cancel the signal from the target direction, and wherein the adaptive beamformer filtering unit is configured to provide a resulting directional signal Y(k) = C 1 (k) - β(k)C 2 (k), where β(k) is an adaptively updated adaptation factor defining said adaptively updated beamformer weights where β(k) is determined based on said feedback estimates. • a multitude of input transducers (M ITE1, M ITE2; M ITE11, M ITE12, M ITE2; M BTE1, M BTE2, M ITE1, M ITE2) for providing respective electric input signals (IN1, IN2; IN11, IN12, IN2; IN BTE1, IN BTE2, IN ITE1, IN ITE2) representing sound in an environment of the user, wherein the hearing device is configured to provide each of said respective electric input signals in a time-frequency representation (k,m) as frequency sub-band signals X i (k,m), i=l,..., M, where M is the number of input transducers, where k and m are frequency and time indices, respectively, and where k=l,..., K; • an output transducer (SP; SPK) for providing stimuli perceivable to the user as sound based on said electric input signals (IN1, IN2; IN11, IN12, IN2; IN BTE1, IN BTE2, IN ITE1, IN ITE2) or a processed version thereof (Y BF; OUT); • an adaptive beamformer filtering unit (BFU; BFU1, BFU2) connected to said multitude of input transducers and to said output transducer, and configured to provide a spatially filtered signal (Y BF) based on said multitude of electric input signals and adaptively updated beamformer weights; • an adaptive beamformer filtering unit (BFU; BFU1, BFU2) connected to said multitude of input transducers and to said output transducer, and configured to provide a spatially filtered signal (Y BF) based on said multitude of electric input signals and adaptively updated beamformer weights; • a feedback estimation unit providing feedback estimates (EST1, EST2; EST2, ESTBF; EST BTE1, EST BTE2, EST ITE1, EST ITE2) of current feedback paths from said output transducer (SP; SPK) to each of said input transducers (M ITE1, M ITE2; M ITE11, M ITE12, M ITE2; M BTE1, M BTE2, M ITE1, M ITE2); wherein • at least one of said adaptively updated beamformer weights of the adaptive beamformer filtering unit (BFU; BFU1, BFU2) is/are updated in dependence of said feedback path estimates, and a) a first beamformer C 1 which is configured to leave a signal from a target direction substantially un-altered, and b) a second beamformer C 2 which is configured to substantially cancel the signal from the target direction, and wherein the adaptive beamformer filtering unit is configured to provide a resulting directional signal Y(k) = C 1 (k) - β(k)C 2 (k), where β(k) is an adaptively updated adaptation factor defining said adaptively updated beamformer weights where β(k) is determined based on said feedback estimates.