The Hebrew of the Old Testament has six different common words which are generally translated as "wife," which largely overlap but have different nuances. Swedenborg uses two different Latin words, which largely overlap but have different nuances. Meanwhile, "wife" is often paired with "man" or "husband," which are also catch-all translations for a basket of Hebrew and Latin terms. So it's hard to pin down one universal meaning for "wife"; context and subject matter have a large effect.

In general, though, marriage in the Bible represents the union we all seek between our hearts and our minds. If we know what is right and pursue it faithfully, the Lord will ultimately help us love doing what is good, and the two aspects of ourselves will be unified. On a higher level, marriage represents the union we can have with the Lord, both individually and collectively as a church. As an intrinsic part of the marriage, the wife plays a key role in that meaning. But that meaning is different depending on what is being described.

If the marriage is describing a person who is spiritual in nature – "spiritual" being the second degree of heavenly life, in which people are led by intellect and knowledge with the desire for good following – the wife represents the desire for good, the affections that drive the person. If the marriage is describing someone who is celestial in nature – "celestial" being the highest degree of heavenly life, in which people are led from love, with the intellect and ideas following – the wife represents the true ideas held by the person or church. If the marriage is describing the union between the Lord and the church, the wife represents the church.

In a way, these are symbolic meanings that actually have little to do with gender. When "wife" describes a church, obviously that church can include both male and female people. When "wife" describes an aspect of a person, that person can obviously be either male or female.

(Verweise: Arcana Coelestia 915, 1468, 1904 [1-2], 3246 [3-4], 3398, 4823 [2])

582. 'After the sons of God went in to the daughters of man, who bore children to them' means at that time when they immersed doctrinal matters concerning faith in their own evil desires and became Nephilim. This is clear from what has been stated and shown just above at verse 2, that is to say, 'the sons of God' means doctrinal matters concerning faith, while 'daughters' means evil desires. Nothing else is born of this union than their treating the holy things of faith as worthless and their profaning them. For a person's desires which stem from self-love and love of the world stand utterly opposed to all that is holy and true. Moreover evil desires prevail with man, and therefore when the holy and true which have been acknowledged by him are immersed in such desires he is done for, since these cannot be rooted out and dispersed. They cling to every one of his ideas, and in the next life it is ideas that are communicated from one person to another. Consequently as soon as any idea of what is holy and true is brought out, so too is the unholiness and falsity attached to it, which is perceived instantly. Consequently such people have to be separated and forced down into hell.