As annie, Your burst damage is almost non-existent when your Ultimate R is down. You will have to play safer and less aggressive while it is on cooldown.

You are weak against long-ranged poke due. If you cannot get into range of the enemy, you will not be able to play aggressive.

Regardless of the additional movement speed your E offers, Annie has little to no form of escape. If you’re over extended without your E to protect you, you will be an easy target.
 As annie, Your burst damage is almost non-existent when your Ultimate R is down. You'll have to play safer and less aggressive while it's on the cooldown. You're weak against the long-range poke due. If you can't get into the enemy's reach, you won't be able to play aggressive. Whatever the extra speed of movement of your E offers, Annie has little or no escape form. If you're too extended without your E to protect yourself, you'll be an easy target.