The word shepherd is used in the bible several times and its always referred to those who look after the congregation. Other words used for shepherds are: Overseers, pastors, elders and bishops. It very important to see the plurality in the charge and not just one individual. (Acts 20:28)
The churches of Christ are firm believers of teachings of the bible. Part of these teachings are related to the organization in the church itself.
The apostle Paul when writing to Timothy would stress the fact of having elders, this act of appointing elders was done in the first century church. The charge of being elders have certain requisites that needs to be fulfill according to the standards set up in the Bible.
“Beloved, when I gave all diligence to write unto you of the common salvation, it was needful for me to write unto you, and exhort you that ye should earnestly contend for the faith which was once delivered unto the saints” (Jude 3)
“This is a true saying, If a man desire the office of a bishop, he desireth a good work. A bishop then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach; Not given to wine, no striker, not greedy of filthy lucre; but patient, not a brawler, not covetous; One that ruleth well his own house, having his children in subjection with all gravity; (For if a man know not how to rule his own house, how shall he take care of the church of God?) Not a novice, lest being lifted up with pride he fall into the condemnation of the devil. Moreover he must have a good report of them which are without; lest he fall into reproach and the snare of the devil.” – 1 Timothy 3:1-7