For the record:

[1] And a great sign appeared in heaven: A woman clothed with the sun, and the moon under her feet, and on her head a crown of twelve stars: [2] And being with child, she cried travailing in birth, and was in pain to be delivered. [3] And there was seen another sign in heaven: and behold a great red dragon, having seven heads, and ten horns: and on his head seven diadems: [4] And his tail drew the third part of the stars of heaven, and cast them to the earth: and the dragon stood before the woman who was ready to be delivered; that, when she should be delivered, he might devour her son. [5] And she brought forth a man child, who was to rule all nations with an iron rod: and her son was taken up to God, and to his throne.

And the woman fled into the wilderness, where she had a place prepared by God, that there they should feed her a thousand two hundred sixty days. [7] And there was a great battle in heaven, Michael and his angels fought with the dragon, and the dragon fought and his angels: [8] And they prevailed not, neither was their place found any more in heaven. [9] And that great dragon was cast out, that old serpent, who is called the devil and Satan, who seduceth the whole world; and he was cast unto the earth, and his angels were thrown down with him. [10] And I heard a loud voice in heaven, saying: Now is come salvation, and strength, and the kingdom of our God, and the power of his Christ: because the accuser of our brethren is cast forth, who accused them before our God day and night.

The Church models itself on the Blessed Virgin, and appears to have done so from the beginning, so that would be a fair explanation, but Our Lady of Fatima is also likened to the Woman of the Apocalypse (Chapter 12) by those who wish to promote the cause of Fatima. I don't buy that theory however, as it is too tenuous and if anything trivializes the Sacred Text.

The woman fleeing to the wilderness to me sounds like Tradition being rejected by the modernist clergy and having to flee to the outer reaches of the political Church. If this is correct, then we are nearly at the end of the book!