Widow’s Might (only works if the members are widows. Play on widow’s mite – the self-sacrificing woman in the NT)
Lydia’s Legacy (Lydia was an entrepreneur in purple cloth – a highly intelligent and successful business woman of the NT who opened her home to those in need)
Latreia (La-tray-uh) – a Koine Greek word found throughout the New Testament meaning worship through a lifestyle of service to God as used in Romans 12:1. Is used for a few different and separate ministry groups, international, national, and local.
All of the above might deter the guys from joining, and you don’t necessarily want that either. One gender neutral suggestion might be...
Fruits of the Spirit (self-explanatory? Except that as a shortcut, people might refer to the group as the “Fruits,” and I don’t know if you want that… lol)
I seem to be single-minded this morning. I’m sure I could come up with some that aren’t Bible related…
Our Women on Mission group does just this sort of thing, and I am a member :)