What Paul supposedly wrote in Timothy, if he even wrote it, was meant to address a problem occurring in that specific Church. As I was told that Church was being hijacked by one or two particularly wealthy and influential Women donors. As you pointed out Timothy was young and new to the work so he wasn’t able to handle the situation and appealed to Paul for guidance.
Paul then supposedly attempted to smack down the troublemakers with some Doctrine in his response letter.
However there’s long been contention that Paul either didn’t actually write that line or that if he did the surrounding context was cut out in order to make it seem much farther reaching than it was meant to be.
While there’s no way to really know the truth I personally find it impossible to believe that after the long and involved history that women had in the OT that the NT would suddenly require their total subservience. It simply makes no sense.