This is an interesting topic to discuss.
Should the Church exhibit all of the qualities of a woman in relationship?
No, not all of the qualities - as no analogy is ever identical to the thing being compared to.
A women marries a particular man with the intent that no other woman will share the same love for her husband. The Church is not like this, the bride is many people in this case - analogous to polygamy, for the sake of argument.
A women will leave her parents to become one with her husband. Whereas, the Church will have the best of both worlds, communion with both the Father of creation, and His son - no one will abandon or show favoritism to anyone. And in this case, the parent takes precedence over all.
A woman will produce offspring for her husband, but the husband in this case (Christ) supplies the siblings without engaging with the bride.
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No analogy is ever perfect, and can be related to the thing being compared to 100%.