How was it *wise* on Eve's part to have followed the serpent's guidance?

The woman (Eve) saw that the tree was good to eat and pleasing to the eye, and that it was desirable for the knowledge that it could give.

The Serpent told the truth, anyone who reads Gen 2:17 reads that Yahweh said "on the day you eat of it you shall most surely die." The Serpent, on the other hand, had contradicted Yahweh in chapter 3:4-5: "No! You will not die! God knows in fact that on the day you eat it your eyes will be opened and you will be like gods, knowing good and evil." So what actually happened? Who lied and who told the truth about this remarkable fruit? The answer is given in the next verse: Gen 3:22 Then Yahweh God said, "See, the man has become like one of us, with his knowledge of good and evil. He must not be allowed to stretch his hand out next and pick from the tree of life also, and eat some and live forever."

Get that? Yahweh himself admits that he had lied! In fact, and in Yahweh's own words, the Serpent spoke the absolute truth! And moreover, Yahweh tells the rest of the Pantheon that he intends to evict Adam (and presumably Eve as well) to keep them from gaining immortality to go with their newly-acquired divine knowledge. To prevent them, in other words, from truly becoming gods! So who, in this story, comes off as a benefactor of humanity, and who comes off as a tyrant? THE SERPENT NEVER LIED! http://caw.org/content/?q=node/65

The bible does not say that she was wise. She was deceived by Satan. That is hardly wise is it?

Very unwise. Led to endless sin.