(I learned this while paying for my degree)
Read the verses in context
Eph 4: 11 And He Himself gave some to be apostles, some prophets, some evangelists, and some pastors and teachers,
And what is the reason for these gifts?
12 for the equipping of the saints for the work of ministry, for the edifying of the body of Christ, 13 till we all come to the unity of the faith and of the knowledge of the Son of God, to a perfect man, to the measure of the stature of the fullness of Christ; 14 that we should no longer be children, tossed to and fro and carried about with every wind of doctrine, by the trickery of men, in the cunning craftiness of deceitful plotting, 15 but, speaking the truth in love, may grow up in all things into Him who is the head—Christ— 16 from whom the whole body, joined and knit together by what every joint supplies, according to the effective working by which every part does its share, causes growth of the body for the edifying of itself in love.
Since we are targeting Pastors - let's look at the word Paul used
Pastor is translated from the Greek - poimen "a shepherd, one who tends herds or flocks" (not merely one who feeds them), is used metaphorically of Christian "pastors," Eph 4:11. "Pastors" guide as well as feed the flock; cp. Act 20:28, which, with ver. 17, indicates that this was the service committed to elders (overseers or bishops); so also in 1Pe 5:1, 2, "tend the flock... exercising the oversight," RV; this involves tender care and vigilant superintendence.
It literally means a shepherd and the same Greek word is found a number of times in the NT
But when He saw the multitudes, He was moved with compassion for them, because they were weary and scattered, like sheep having no shepherd.
And Jesus, when He came out, saw a great multitude and was moved with compassion for them, because they were like sheep not having a shepherd. So He began to teach them many things.
“I am the good shepherd. The good shepherd gives His life for the sheep.
The Bible also directly speaks about Bishops (overseers), 1 Timothy 3:1-7
Who is the Bishop in the home church?
As for your position on ministers receiving wages:
1 Tim 5:1717 Let the elders who rule well be counted worthy of double honor, especially those who labor in the word and doctrine. 18 For the Scripture says, “You shall not muzzle an ox while it treads out the grain,” and, “The laborer is worthy of his wages.