As annie, Try and aim your abilities so they hit her and the minion wave simultaneously. 

This matchup is easy early, but post 6 it is going to be harder as Annia has more kill pressure post 6 with her Ultimate. Keep this in mind.

When fighting Annie, avoid fighting her when she has multiple stacks on her Passive. Fight her after she has used her CC tool.

Early on, keep the wave closer to your side of the map. It will protect you from ganks and reduce Annie’s chances of setting up her Jungler. As annie, Try and target your abilities so they hit it and the minion wave simultaneously. This matchup is easy early, but post 6 it's going to be harder because Annia has more to kill pressure station 6 with her Ultimate. Keep this in mind. In the fight against Annie, avoid fighting her when she has several batteries on her Passive. Fight her after she has used her CC tool. At first, keep the wave closer to your side of the map. He will protect you from the ganks and reduce Annie's chances of installing her Jungler.