A woman's responsibility for her husband and her family is outlined in Proverbs 31. However, nowhere does it say anything about "her" being responsible for the "relationship" itself.
And ... God clearly indicated who was responsible for the relationship when he ask Adam, "What have YOU done". After all, Adam was responsible for "tending" the garden - and Eve being deceived proved Adam was not doing his job.
If God was so concerned about the woman's responsibility, why didn't he ask Eve, "What have you done?" Surely God already knew what Eve had done? The fact that God did not inquire to Eve indicates God was placing responsibility upon Adam - whether he wanted it or not. And ... Adam only added insult to injury by insinuating it was God's fault ("it was that woman YOU gave me).
Just a little reminder.
Wait a minute. Wives have a responsibility as well. Marriage is still a two-way street. Lets not beat up on the guys with baseball bats while handing the ladies a rose and say, that's ok, it's not your fault.