The subcutaneously implantable vascular access port has two parts including a body and a wing. The body supports a chamber covered by a septum, with a septum held in place over the chamber by a collar. The chamber is coupleable to a vascular structure, such as through tubing extending from the body, for delivery of medical preparations. The body is preferably elongate in form. The wing is configured to be adjustable in width. In one embodiment the wing rotates relative to the body and has an elongate form similar to that of the body. When the wing is rotated it extends laterally from the body and enhances a stability of the body. In another embodiment, the wing is provided as a deformable wing which can expand laterally out of side openings of a cavern in the body into which the deformable wing is inserted.