Timothy was a minister of the new covenant and he was definitely Greek!
An "able minister" and a Minister are not the same thing.
Paul was talking about what he had been enabled to be able to minister to others...he said that while talking of the source of his sufficiency, or enablement.
2 Corinthians 3:3 Forasmuch as ye are manifestly declared to be the epistle of Christ ministered by us, written not with ink, but with the Spirit of the living God; not in tables of stone, but in fleshy tables of the heart. 3:4 And such trust have we through Christ to God-ward: 3:5 Not that we are sufficient of ourselves to think any thing as of ourselves; but our sufficiency is of God; 3:6 Who also hath made us able ministers of the new testament; not of the letter, but of the spirit: for the letter killeth, but the spirit giveth life. 3:7 But if the ministration of death, written and engraven in stones, was glorious, so that the children of Israel could not stedfastly behold the face of Moses for the glory of his countenance; which glory was to be done away:
Was the law " a Minister" (capital "M")?
Rom. 14:5; 5:6-8.