Such as 1 Timothy 2:12? ("But I do not allow a woman to teach or exercise authority over a man, but to remain quiet.")
It's not grammatically complex in English (or Greek). It's pretty clear. In the church men may not be taught by women. In the church men must not be under the authority of women. It's "men" not "boys" or "girls." So one could conclude that teaching and having authority over children (male and female) is not prohibited. How does Cunningham present it?
Timothy is one of the "Pastoral Epistles" because it contains principles for the pastoral care of churches and qualifications for ministers. These principles are universal and timeless, applying even to our age/generation.
I would encourage you to check out the book I linked at post 28.