Well, i see that annie has really low health and would be killed easily begining and maybe the end. For this most opponent would attack annie or go for annie. Thats where this build come to use. With the rune your armour protection for annie is covered. With the ryia's and rod of ages your health is tremdously hig. But you needs ability power too so i think to rabadon hat and a mejai will cover that.

Having ghost is great when you want to back out of a fight or when somene is chasing you because annie wil be chase when the game is starting because of the lack of health. Ignite with this its a great punch with annies abilitys. 2 ability,4,1,3,ignite. The con of this build is the magic pentration Scine it has 0 annie can be greatly affected by ability power. So watch out for ryze anvia. Farming well annie's 3 abilty will take care of that when you have enough ability Annie can kill a group of creepers and be easily killed.