Linda Belleville's argument: elders don't have authority anyway

Linda Belleville argues that no leadership position in the NT is linked with the Greek word exousia (authority), therefore elders/overseers didn't have authority, therefore restricting women from 'authority' is meaningless since the role had no authority. Mike dismantles this: (1) It's an argument from silence — the specific word exousia not appearing doesn't mean the concept of authority is absent; (2) Matthew 18 — elders make excommunication decisions; (3) 1 Corinthians 5 — Paul unilaterally decides to excommunicate someone, overriding the congregation; (4) Philemon — Paul says he could command Philemon; (5) Hebrews 13:17 — 'Obey your leaders and submit to them' (no exousia used, but the concept is unmistakable); (6) Belleville herself contradicts this when she claims Nympha had authority as a house church patron, calling patronage 'an authoritative role' — then concludes Nympha was an elder because she had authority. She claims no one has authority, then derives eldership from having authority.