Women were made in the image of God. Femininity, not so much. That doesn’t make femininity bad; it’s part of God’s design. It’s just different. It’s the necessary shadow cast by God’s sunlight. “I am dark but beautiful,” as the Bride says in the Song of Songs.
Now, obviously, as you contemplate God and what He does, you can see some things that He does that are sort of like feminine qualities. But in general, God is the bridegroom and the Church or Israel (or the Sabbath or the Torah) is the bride, and God is the father and his people are the mother. The only major exception is the poetic imagery with the figure of Wisdom. Catholics today tend to identify this with the Holy Spirit, but the early Church almost always used her as a figure of the Son (because of Wisdom’s doing Creation, and because Wisdom is a teacher and is associated with Eucharistic stuff). But when people want to meditate on Wisdom’s femininity, they usually end up thinking about how Wisdom compares to Mary, or to other virgin female saints. (Both in early Christian times and today.)
(If I were a theology major, this would probably be the point where I’d talk about the I/Thou thing between humans and God. But I don’t really know what that’s about, so I won’t!)
On the other hand, both man and woman constitute humanity, and neither one really expresses the species by itself. And so, both masculinity and femininity are necessary qualities to human-ness, and neither one alone is complete. But either a woman or a man, a feminine person or a masculine person, is fully a human being.
Pope St. John Paul II’s “Letter to Women”:
"The creation of woman is thus marked from the outset by the principle of help: a help which is not one-sided but mutual. Woman complements man, just as man complements woman: men and women are complementary. Womanhood expresses the “human” as much as manhood does, but in a different and complementary way.
“When the Book of Genesis speaks of “help”, it is not referring merely to acting, but also to being. Womanhood and manhood are complementary not only from the physical and psychological points of view, but also from the ontological. It is only through the duality of the “masculine” and the “feminine” that the “human” finds full realization.”
The whole point of Mary is that she isn’t divine. She is human, and yet she managed to do God’s will and follow His commands faithfully. She is the daughter of Zion, the Israel who didn’t go astray. If she were divine or an incarnation of God, she would not be making that same point for God.
So yes, she’s especially linked with God, and particularly with the Holy Spirit. But being a woman and a human is what makes her herself.