Dislodgment of a constricting cord from an annulus can be prevented by delivering the distal loop portion of the constricting cord to the annulus using a percutaneous delivery tool, and launching anchors into the annulus so as to affix the distal loop portion of the constricting cord to the annulus. The percutaneous delivery tool is withdrawn in a proximal direction after the anchors have been launched. A pushing member is pressed in a distal direction so that the pushing member holds a portion of the constricting cord against the annulus with enough pressure to prevent dislodgment of any of the anchors during the withdrawal of the percutaneous delivery tool.
