A connector system for interconnecting a hearing aid ( 3 ) with a fixture ( 5 ) anchored in a bone segment ( 7 ). An abutment ( 9 ) has a contact surface ( 21 ) with is a substantially circular surface. A connector plate ( 17 ) with a substantially circular connector contact surface ( 20 ) is in contact with the abutment contact surface ( 21 ) when the hearing aid ( 3 ) is connected to the abutment ( 9 ). The abutment ( 9 ) has a wide abutment coupling area and a narrow portion. The abutment coupling area is enclosable by coupling shoes ( 15 ). The coupling shoes ( 15 ) exert a pressure against the abutment coupling area disposed on a mantle surface ( 25 ) of the abutment. The coupling shoes are movable in a radial direction relative to the connector plate ( 17 ). The coupling area has an increasing diameter in a lateral direction (L). A coupling area ( 29 ) of the coupling shoes has an increasing diameter in the lateral direction (L) to exert a pressure on the abutment ( 9 ) against a connector contact surface when the coupling shoes ( 15 ) are pressed in the radial direction against the abutment ( 9 ).