This may be how your local church views it, but lacking any overarching theology/creed that keeps the CoC congregations doctrinally homogeneous, I'm sure you're aware that many CoC congregations have a different take on this matter.
I am aware that there are those that are in the church of Christ that view things differently than I do. However, I fail to find any qualifications of the baptizer in the New Testament, and that is what matters.
I've never attended or heard of a church of Christ that had 'qualifications' for a person who baptizes another. It is true that many coCs would look dubiously on a baptism administered in, say, a Baptist church, but only because of that church's teachings on baptism, *not* the identity or spiritual condition of the person physically doing the baptism.
After all, someone had to go first back in the first century A.D., and in any case holding such a silly extra-biblical standard would negate any confidence in salvation, because how would I know that the person who baptized the person who baptized the person who baptized me met the 'qualifications'?
The chruch of Christ has an overarching theology. It is called the Bible. I'm sure you're aware that many CoC congregations have a different take on this matter.
I have attended, visited, corresponded with, and spoken at many churches of Christ over the past 50 years and have never run across one that has a different take on the matter. Nor have I ever read of one in any church of Christ literature.