A district under the care of a particular priest or church is called a parish.
Quite simply, he is called a priest.
This person is called a curate. The duties of a curate are called a 'curacy'. The term 'curate' means "cure of souls". The curate is assigned to a parish as assistant to the parish priest. There may be one or more curates under each priest.
The Parish Priest
because u asked me
A ruling priest is called a Theocrat
the priest is called a father
Priest were called "the druids" during the anglo saxon
When a priest speaks in Church as part of a Liturgy or Service, it is called a Sermon.
He was the high priest called Caiaphas.
If you mean the liturgical vestment worn around the shoulders of priests as they administer the sacraments it is called a 'stole'.
The young priest assigned to a parish to help the pastor is called a curate. The young men who assist the priest at the altar are called altar boys, or sometimes altar servers if the priest in question insists on letting girls help.