Functional Order: Ni/Fe/Ti/Se
Dominant Function: Ni
The Oracle’s whole shtick is predicting what’s going to happen. She understands both the system of the Matrix and the nature of human beings, and can put the pieces together to determine likely outcomes. One gets the impression by the end of the movie that she isn’t so much seeing into the future, but making very insightful leaps of intuition about people’s probable actions.
For instance: It isn’t too hard to see that the combination of the danger around Neo, plus the savior complex of Morpheus (or sidekick-to-the-savior complex), equals an inevitable situation where Morpheus might sacrifice himself to save Neo. It’s this prophecy that she gives Neo, not an answer about whether or not he’s the One, because she understands that telling someone the plain truth might be less effective than telling them something that will steer them in the right direction.
The Oracle also has something intriguing to say about Neo not being the One: “It seems like you’re waiting for something…your next life, maybe.” Neo doesn’t fully embrace his powers until after he’s shot, killed, and resurrected. So in a way, the Oracle’s insight is absolutely correct.
Auxiliary Function: Fe
The Oracle appears as a friendly grandma to put Neo at ease. She’s baking cookies when he walks in, and when he breaks her vase, she just smiles and tells him not to worry about it. She’s warm and gentle with him, and expresses great sadness when she gives him her warning about Morpheus.
She also uses a neat bit of reverse psychology to guide Neo. She allows Neo to assume that she’s about to tell him that he’s not the One—she never actually tells him he’s not. This takes the pressure off him, and allows Neo to discover his potential on his own terms. She also knows that giving him a plain yes or no about whether or not he’s the One will never satisfy him, but an ominous prophecy about his fate versus Morpheus’ is just the thing to spur him into action.
Tertiary Function: Ti
The Oracle is very clam and has an analytical streak. She is snarky and easily points out logical inconsistencies in others ideas, but her auxiliary Fe makes her still sensible about it. She is able to detach herself from her feelings to look at the bigger picture and comes to her own conclusions based on her personal logical framework.
Inferior Function: Se
The Oracle is sort of detached from the real world, living simultaneously in the past, present and future. Still she enjoys small daily sensations, like baking cake or smelling the flowers. She takes care of offering a comfortable home for her disciples.
Note: Parts of this argument have been taken from https://heroesandvillainsofmbti.wordpress.com/2015/01/21/the-matrix-the-oracle-infj-mini-post/