IMO, biblical themes are a nice way to relate to something that is culturally familiar to a lot or people (with or without their realizing it), so it can serve as an additional hook to capture their attention.
I'm not religious myself, but having studied literature, I've found that, depending on the reader, you may have a very religious reading/interpretation, or a multi-layered modernist/postmodernist approach to the poem itself. In other words, I can be about anything you (or anyone reading) read(s) into it.
What I enjoy in your poem is the juxtaposition of the angelic imagery with a woman's emotions, both of which are traditionally viewed as elevated, highly positive, even pure.
What you do in this poem is turn those notions/expectations upside down, and paint a very different picture of angels and women. Words like 'unlucky', 'unfaithful', 'falling apart', 'broken heart', and others in the third stanza show a very different idea of angels and women than the traditional notion of both. You seem to show that things are not as they are traditionally perceived, that this woman may seem to have her sh*t together, but that's just appearances.
The ending of your first stanza, that image of a 'pristine wedding gown' is something that stays with me after I read and re-read the poem. Well done!