What is the Biblical basis for accepting Feminist Christian Theology which says we should use female pronouns for God?
Pope Francis answers this question in Querida Amazonia;
“Jesus Christ appears as the Spouse of the community that celebrates the Eucharist through the figure of a man who presides as a sign of the one Priest. This dialogue between the Spouse and his Bride, which arises in adoration and sanctifies the community, should not trap us in partial conceptions of power in the Church. The Lord chose to reveal his power and his love through two human faces: the face of his divine Son made man and the face of a creature, a woman, Mary. Women make their contribution to the Church in a way that is properly theirs, by making present the tender strength of Mary, the Mother. As a result, we do not limit ourselves to a functional approach, but enter instead into the inmost structure of the Church. In this way, we will fundamentally realize why, without women, the Church breaks down”
The Church Fathers also teaches God the Wisdom or the Holy Spirit as feminine;
The grammatical gender of the word for "spirit" is feminine in Hebrew (רוּחַ, rūaḥ),1 neuter in Greek (πνεῦμα, pneûma) and masculine in Latin (spiritus). The neuter Greek πνεῦμα is used in the Septuagint to translate the Hebrew רוּחַ. The pronouns used to address the Holy Spirit, however, are masculine.
The Holy Spirit was furthermore equated with the (grammatically feminine) Wisdom of God by two early Church fathers, Theophilus of Antioch (d. 180) and by Irenaeus (d. 202/3).
St. Louis de Monfort in his book "Love of Eternal Wisdom" cited scriptural passages personifying God as Mother;
- I am the mother of pure love, of fear, of knowledge and of holy hope.
- In me is all grace of the way and of the truth; in me is all hope of life and strength.
- Come to me, all you who desire for me, and be filled with my fruits.
Divine Wisdom shows himself to be the mother and source of all good and he exhorts all men to
give up everything and desire him alone.
Eternal Wisdom began to manifest himself "outside the bosom of God the Father" when, after a whole eternity, he made light, heaven and earth. St John tells us that everything was made through the Word, that
is eternal Wisdom: "All things were made by him" (Jn. 1:3; cf. Heb. 1:2; Col. 1:16-17).
Solomon says that eternal Wisdom is the mother and maker of all things. Notice that Solomon does not call him simply the maker of the universe but also its mother because the maker does not love and care for the work of his hands like a mother does for her child (Wisd. 7: 12,21).
Source: Love of Eternal Wisdom. http://www.montfort.org/content/uploads/pdf/PDF_EN_25_1.pdf
But to understand, this mystery, one needs to ponder God's Will in eternity and St.Maximillian Kolbe and Ven. Ab. Fulton Sheen and the wisdom of the Three Great Marian Saints like St. Maximilian Kolbe, St. Louis de Montfort and St. Liguori will help us see Pope Francis wisdom behind his teachings in Amazonia Querida, saying God reveals two human faces, Son of Man in Jesus Christ and the Woman in Divine Motherhood of the Blessed Virgin Mary.
God the Father sees the image of His Begotten Son the Second Person of the Holy Trinity as the "Son of Man" existing in the "bosom of the Father" in eternity. This image was incarnated in the womb of a Woman to become flesh as Jesus Christ the Divine Mercy made flesh was incarnated and dwelt among us.
The Blessed Virgin Mary offered Her body & blood and gave face to the Logos the Second Person of the Holy Trinity.
God the Father sees the image of the Holy Spirit the Third Person of the Holy Trinity in the perfect image of a Mother, a Consoler , a Comforter and Advocate. But, unlike the Logos, the Holy Spirit will be "quasi-incarnated" in the body,blood,and soul of the chosen Woman. The Holy Spirit was quasi-incarnated and perfectly and mystically indwelt the Theotokos in the Upper Room.
The Blessed Virgin Mary offered Her Sorrowful & Immaculate Heart and gave face to the Holy Spirit, the Third Person of the Holy Trinity.
God the Father has two image, one image is the Begotten Son Jesus Christ, and the other image is a Woman. a Mother which is the perfect image of the Holy Spirit. The child in the arms of a loving Mother, is the perfect image and likeness of God, and this two human faces is the image of God shown to humanity as the image of salvation.
The icon of the Madonna, is the image God the Father looked upon in eternity, and when God the Father created "Man & Woman", it is created in the perfect image of Jesus and Mary, while the "male & female" was created in the image & likeness as "Adam and Eve" progeny, a fallen mankind.
That's why scholars had seen two creation, having Man & Woman created and the image and likeness of God, and another set of creation creating mankind both "male and female".
More biblical passages on a Feminine attribution to God in this article written by Fr. James Martin who controversially uploaded a pronoun of God using "Her".