YOU probably recall from Act 6:4 how in the selection of the first seven deacons, the apostles who served as the pastors of the first church of Jerusalem said that they would (as pastors) properly "give themselves continually to prayer, and to the ministry of the word." This is significant, especially in light of the chapter at hand. As Timothy's ministerial mentor, Paul began this letter (in chapter 1) by calling the Reverend Tim to stand for the truth; to fight for sound doctrine. Now, here in chapter 2, Paul reminds him of the importance of prayer and preaching.
The church calls many men "preachers," "pastors," "teachers," but we don't bequeath the title of "prayor" (like "mayor" or "benefactor") on anyone. Admittedly, (in the church) certain believers do indeed develop a noble reputation as individual "prayer warriors" - which is a good thing (as long as this is not sought out by these individuals as a point of pride or personal superiority). And, since prayer is chiefly a private ministry, it makes sense that the title of "prayer leader" might not grow and develop as readily in our congregations as does the title "preacher." Yet, in the spiritual life of the church, both ministries are indeed necessary (and are certainly complimentary).
When it comes to praying and preaching, both types of service are spiritual in nature. And both demands that we consider the role of authority in relation to the exercise of that service. Concerning prayer specifically, we know that we pray to the Father, in the name of the Son, under the guidance of the Holy Spirit. We are required to pray for those who are in authority over us (vs. 2). We are expected to pray for everyone around us (vs. 1 & 4). And, we are ALL expected to pray. It is not JUST the "preacher's job."