Aronofsky's Mother!
The poet is the I AM, the Creator who built the house. When the Woman asks him who he is near the end of the film, he answers "I AM" I. The God of both the Old and New Testaments clearly identifies Himself by that name Exodus 3:14 OT John 8:58 NT
The house is the world. It was created to nurture, God's wife and His children.
In the Biblical narrative the house is not rebuilt over and over again. It has a purpose and when the purpose is complete, the prophet Isaiah says it will be "folded up and put away like a worn out garment."
The house is not the woman. The prophet Ezekiel chapter 16 tells the story of God's wife. He found her being abused by her parents and God took her away to give her a splendid place to live. When He took her she was still too young to marry, so sent her to a boarding school. The boarding school was Egypt. When she came of marrying age, He took her to marry, but on their wedding day, He found her in bed with a god she had met in Egypt. Later He forgives her and marries her anyway.
She lives in the beautiful world which He made for her Ezekiel chapter 16
The woman is his wife. She is not the world. In the Bible narrative, the people did not destroy the world, God's wife did.
The man played b Ed Harris, is a conflation of Adam, Abraham and Isaac
The man's family is ancient Israel, particularly the conflicts between Cain/Abel, Isaac/Ishmael and Jacob/Esau who fought over the birthright or will of the f
The baby is Christ whom the world kills. The movie has the world eating the baby's flesh. The Bible narative says the world may not eat. But only His wife may eat him. ( Yes the crude suggestion is intentional. Song of Songs "he shall lie all night betwixt my breasts. . . Awake, O north wind; and come, thou south; blow upon my garden, that the spices thereof may flow out. . . Let my beloved come into his garden, and eat his pleasant fruits. I am come into my garden, my spouse: I have gathered my myrrh with my spice; I have eaten my honeycomb with my honey; I have drunk my wine with my milk: O beloved. . . Open to me, my love, my dove, my undefiled: for my head is filled with dew, and my locks with the drops of the night. 4 My beloved put in his hand by the hole of the door, and my bowels were moved for him. 5 I rose up to open to my beloved; and my hands dropped with myrrh, and my fingers with sweet smelling myrrh, upon the handles of the lock.
And the hoard is European Christianity.
The burning house is the Apocalypse, which in the Bible narrative is intentionally brought on by God, not by his wife.