Having never encountered 'sheepfold', I was curious to find out more and was surprised by the results.
An advantage of 'fold' over 'sheepfold' (and
bergerie) is that it is less pastoral and can more easily take on the meaning of 'fold' as 'community, home, organization (incl. church), etc.' as in
* Her children are all away at college now, but they always return to the fold during the holidays.
* After the last election, the Republican Party tried to bring former conservatives back into the fold.
* The team offered the star forward everything they could to bring her into the fold.
* She was afraid that he'd become upset with the church and leave the fold.
* They welcomed the newest family member into the fold.
https://dictionary.cambridge.org/dictionary/english/fold