TL

IMO we must give Paul the option to NOT name or describe a particular woman that he wants to exercise grace toward. It seems likely that Paul expected his letter to Timothy to be read aloud. This was good in that it showed exactly what Paul wanted done. It could have been bad for the woman had she been named. Thus the only other choice was to describe loosely someone that Timothy and those involved would know exactly who was being described, but loosely enough that no one else would know. If she were described too accurately then she would carry a stigma around with her that she didn’t deserve. Unlike Hymenaeus and Alexander who were apparently unteachable, this woman was able to learn in Paul’s estimation.