Abstract: There is disclosed, in a coaxial transmission medium connector, a female center conductor element having a tubular male-center-conductor-element-receiving region extending from an open end to a blind end and which is characterized by an inner surface which diverges from a first position proximate the open end to a second position rearwardly toward the blind end in conjunction with a wall thickness which tapers from a maximum value proximate the first position to a less thick region at a second position toward the blind end. With this configuration, electrical contact between a male center conductor element and the female center conductor element of a slightly axially misaligned mating pair will be very nearly diametrically opposed and hence limit signal degradation at the junction.