Build and Runes
Stay away from her when she has her stun ready.
Stay away from Tibbers when it’s summoned, as it deals AOE damage.
Keep a close eye on her passive stacks, when she hits 3 stacks, she can land a surprise stun by activating her E before her Q reaches its target.
Long range casters will have an easier time against her due to her short ranged abilities.
Always be aware of her flash+combo attack,as it is rather devastating.
When tibbers and annie are both under tower, you could consider taking one hit from tibbers AOE flames, because then annie get targeted by the turret.
The best way to kill Annie is to go for her immediately after she misses her stun. especially if you are playing a burst damage champion.
Avoid picking assassins. Annie has a really high burst potential with little risk because of her passive stun. Assassins are characterized as squishy champions with high burst, but a good Annie will have a stun prepared to make you unable to burst.