The former.  It would follow from your offering that the Church position is that Eve was responsible for "...getting Adam to sin, meaning to have sex with her."
As Prefect of the CDF J.Card. Ratzinger wrote to all bishops that "God's definitive words to the woman after the first sin" was that his desires will by yours etc., and "He shall rule over you"-  thus literally not figuratively. The document refers to "...in the church and in the world".
If you read Ratzinger, he "teaches"(with papal approval) that God created women - before the first sin - to prevent Adam from a "sterile" (not to mention "baneful") encounter with himself. So, the primary purpose would seem to be reproductive and at the initiative, prerogative of the man.