Would you use a different word to say she comes from the back/rear of the church?
Don't think so. It should be the same.
2019-09-04 If "church" is biserică, why isn't "the church" biserica? The word bisericii looks like a plural to me.
It's because the sentence more readily translates to "The woman comes from the back of the church" as bisericii is the genitive/dative form, i.e. of the church
That's what I wrote, and it was marked incorrect.