There is not a universally common terms.
The "Christian religion" includes a lot of different subgroups... plus there will be titles that are unique to some countries or languages.
A thesaurus such as www.m-w.com will give you different titles such as reverend, father, pastor, minister, preacher ...
When a priest speaks in Church as part of a Liturgy or Service, it is called a Sermon.
Originally, the priest who was overseeing a church was called a Vicar. The residence for him was called a vicarage. Then, they called the priest overseeing a church a Rector. The residence for him was called a Rectory. Priests still live in a rectory nearby his church.
He is the Priest.
A district under the care of a particular priest or church is called a parish.
pulpit
The priest of the Church of On is Father Thomas.
Sacristy.
Its called as the Alter where the priests stand and preach.
Alter server
A child priest is often referred to as an "altar server" or an "acolyte." These young individuals assist in the rituals and ceremonies of the church.
The leader of the Jewish faith is called Rabbi.
It was called aGlebe - this was the land assigned to a parish to be used to support the resident priest, it did not include the rectory. The word is peculiar to England and was used in the Catholic Church and later in the Anglican.