Honestly, the build is pretty bad. Vayne is an ADC. She has moves for dealing tons of damage once you build damage items and her moves provide little defense. Building tank items on an ADC is pretty pointless. You won't do damage and you won't be able to tank damage. Besides that, even if you wanted tank items, you chose some pretty terrible one. Iceborn Gauntlet? What do you need the mana for? What do you need the Ability Power for?

Half of your pros are untrue "Lots of damage"

You have like half a sentence for each chapter. Why make a guide if you're not going to teach anything to anybody.

"Items

This is completely optional but I like to have a lot of kite potential as well as being tanky."
Is that supposed to be a joke?

When you have to add filler text to meet the word limit, you're guide is probably bad.