A positionable, direct-injection catheter that can access a specific region of the heart or other organ. The catheter is provided with one or two needle shafts, which may be located within respective sheaths that extend axially along the interior of the lumen of a main catheter shaft. Each needle shaft carries, at a distal end thereof a penetrable element that is normally retracted, but is subsequently deployed by a trigger. Each extended needle is curved to enter the organ wall in a flattened trajectory that both reduces the chance of puncture through the wall and anchors the needles into the wall during injection. A plurality of apertures which provide for more complete agent delivery rapidly, while maintaining a low delivery velocity to avoid the problems caused by high velocity delivery. The needles are typically arranged to exit the tip at contralateral orientations relative to each other.
