She must learn in silence, literally in quietness. This means a bit more than just not talking. In quietness means the woman must tend to her own affairs and in her own God-given place and task she must learn. The woman must not meddle into the affairs which God had assigned to the men of the church. Still more, she must learn in silence with all subjection.
Subjection is obedience and all subjection is total obedience.
In this way the woman must learn in silence. The reason for this is given in verses 13 and 14. Adam was first formed then Eve. This means the woman was made for the man and not the man for the woman. And, Adam was not deceived, but the woman being deceived was in the transgression.