Therapeutic devices, especially vaso-occlusive devices or embolic coils, are delivered by an apparatus that includes a pullwire having a tine or tines that have an offset orientation that engages a therapeutic device. The pullwire passes through an opening of a headpiece. When the pullwire moves in a relative proximal direction, the tine moves toward a straight-line orientation, and the therapeutic device is liberated from the tine and from the pullwire. At this state, the therapeutic device is ready for deployment at a desired intraluminal location.