Is it wrong to have a governing body or elders in the congregation?

 Acts 14: 21-23 NWT: 

After declaring the good news to that city and making quite a few disciples, they returned to Lysʹtra, I·coʹni·um, and Antioch. There they strengthened the disciples, encouraging them to remain in the faith and saying: “We must enter into the Kingdom of God through many tribulations.” Moreover, they appointed elders for them in each congregation,offering prayer with fasting,and they entrusted them to Jehovah, in whom they had become believers.

Acts 14: 21-23 NIV: 

 They preached the gospel in that city and won a large number of disciples. Then they returned to Lystra, Iconium and Antioch,  strengthening the disciples and encouraging them to remain true to the faith. “We must go through many hardships to enter the kingdom of God,” they said. Paul and Barnabas appointed elders[a] for them in each church and, with prayer and fasting, committed them to the Lord, in whom they had put their trust.

Act 14: 21-23 NCB: 

 After they had proclaimed the good news in that city and gained a considerable number of disciples, they returned to Lystra and then moved on to Iconium and Antioch. They strengthened the disciples and encouraged them to persevere in the faith, saying, “It is necessary for us to undergo many hardships in order to enter the kingdom of God.”  In each Church, they appointed presbyters for them, and with prayer and fasting they commended them to the Lord in whom they had come to believe.

As you can see, according to Holy Scripture, not just in the New World Translation but also in other translations, including a specifically Catholic translation, it is plainly shown that some brothers took on the added responsibility of organizing the work of the Christ being done on earth, which included appointing elders to the congregations to also take on added responsibility for the same reason. 

Therefore, it is not wrong for Jehovah's Witnesses to simply notice that this is how first century Christians behaved, through study and prayer, and then to emulate it. This behavior is in the Bible as an example of how to fully accomplish the work of the Christ.