In addition to the other qualifications for deacons in vv. 8-10, the following qualifications are given to those deacons who are married and to those who have children. Both of these qualifications speak to the importance of a married man’s leadership in his home. This doesn’t mean that a deacon must be married and have children. It just means that if they are, they have to meet these qualifications as well as those in vv. 8-10.
One-woman man
A Deacon must be a faithful man – whether married or single. However, this seems to be specifically speaking to those male deacons who are married. He is to be a one-woman man. This qualification does not bar divorced men from serving as deacons. However, there is a deeper testing for a divorced man in order to discern the reasons for divorce. Faithfulness in marriage is a necessity for deacons.
Manages his home well
Again, this qualification doesn’t mean that a male deacon must have children in order to be a deacon. However, if he does have children, they must be managed well. His children must respect and submit to his leadership if he is to serve as a deacon.
For more info, read the position paper or other posts.