In Moses 4:12, we read: "And when the woman saw that the tree was good for food, and that it became pleasant to the eyes, and a tree to be desired to make her wise, she took of the fruit thereof, and did eat, and also gave unto her husband with her, and he did eat."
I noticed that while Satan tempted Eve with half-truths and lies about the Tree, she only partook when she "saw that the tree was good for food." This indicates to me that it was less about Satan's words about the Tree and more about Eve deciding that it was time for her and Adam to leave the Garden. I think that Eve was much more aware of the situation and its consequences than we are led to believe, and that makes me happy because it affirms the necessity and power of agency and intelligence.