I still have a “church” itch as the idea is found in the BoM. So below, in no particular order, are some observations and thoughts as they stand now:
Gendered imagery in the Bible illustrating the relationship between God (or Christ) and his people, represented by Israel, Jerusalem or the Church, is pretty common. In Revelation alone, there are multiple striking images such as the Cosmic Woman of Revelation 12, the Whore of Babylon (Revelation 17) or the “Bride, the wife of the Lamb” in Revelation 21.
The BoM is different. The GA Church is female, but of the naughty type and highly disfavored for it. Instead, the church/people of God is/are defined by what they think, that is, they share a set of beliefs with God. It’s a rational rather than an emotional relationship; right now it seems like two guys who’ve decided to hang out together. God is the dominant partner.