An alternate or auxiliary Function Attitude in addition to one's Dominant Function. The Secondary Function gives extraverts access to something beyond what is immediately apparent or applicable; and it gives introverts access to public, worldly matters. A person's Secondary Function doesn't directly conflict with the person's Dominant Function even though it's Oriented by the opposite world (extraverted/introverted).
One of Lenore's Main Propositions seems to be that the Secondary Function often provides a person's main path of growth, once they've established a definite personality--one strong enough to start running into self-created limitations. Some explorations of how this might work are on Saints-and-Politicians Exegesis and Place-Your-Stakes Exegesis.
See also: Developing the Secondary.