A blunt-tipped cannula needle for injection of fluid into a subcutaneous tissue around a vein. The cannula needle includes a tubular side wall having three straight sections, each having a central axis. A second central axis of the central axes is angled away from a first central axis of the central axes at a first preselected angle in a first plane. A third central axis of the central axes is angled away from the second central axis at a combination of a preselected second angle and a preselected third angle, such that the third central axis is effectively angled away from the second central axis both at the second angle in the first plane and at the third angle in a second plane perpendicular to the first plane. A plurality of apertures in a distal end section of the needle that face the second central axis.