Anomos, 'without law'. This is important as showing the true force of the Greek word anomia employed elsewhere, as in 1John 3.4, 'sin is lawlessness,' not 'transgression of law.'
Or, 'under law to Christ' (not under the law), i.e. rightfully, duly, subject to Him. I have said 'legitimately' to preserve the connection with law. See Acts 19.39, 'regular,' i.e. lawful and right.