The exception would be where you don't have enough priests to have a resident priest for each parish, so you have "clusters" where there's one priest for several parishes. In such cases you'd typically have a "pastoral team" in each parish responsible for administration, and this could be composed of deacons, sisters, maybe even officers from the parish council (elected laypeople) --- but they would all be under the authority of that one priest, the pastor.
I hope I haven't been confusing.
What I was asking about was, when you kept using the word “pastor”, were you describing a priest.
Most of us are used to Catholics calling priests, priest.