In As I Lay Dying, what is Addie's secret?

Cora and Addie are discussing the relative challenges of
womanhood, and it is here that we think Cora realises that Addie has a secret she will
not reveal. Cora grumbles about Addie that-

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You’d think from the way she talked that she knew
more about sin and salvation than the Lord God
Himself

Cora believes that
Addie’s only sin is –

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Being partial to Jewel that never loved
her

We begin to see that
Addie’s relationship with Jewel is distinctly different from that with her other
children. Cora tells
Addie-

Jewel is your
punishment

Addie could choose
to confess that Jewel is not Anse’s child, but she retains this secret, condemning
herself forever and rejecting eternal salvation. She knows that this confession would
save her, but she chooses not to speak.

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He is my cross and he will be my
salvation.

Cora criticises
Addie’s decision, saying Addie had

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…closed her heart to God and set that selfish
mortal boy in His place.