[Salvation]

There are three levels of ordination celebrated in the encompassing Sacrament of Holy Orders.

Diaconate (Deacon)
Presbyteral (Priest)
Episcopal (Bishop)

Thus the title with only the word, priesthood is misleading in my opinion.

[Salvation]

Here are four pages about the Sacrament of Holy Orders from the Catechism of the Catholic Church. #1580 specifically talks about "married priests."