A fluid distribution system for delivering fluid internally of a body comprises a hollow needle and an implantable access port. The needle has a tip with a predetermined shape. The access port includes (a) a housing that includes at least two fluid outlets, (b) a septum received in the housing, and (c) a valve member rotatable in the housing. The valve member includes valve fluid inlet and outlet openings and a valve inlet passage extending from the inlet opening to the outlet opening. The valve inlet passage has a shape complementary to the shape of the needle tip. The valve member is rotatable into (i) a first position in which the valve fluid outlet opening communicates with a first housing fluid outlet and (ii) a second position in which the valve fluid outlet opening communicates with a second housing fluid outlet.