Laning vs Annie in a nutshell...
Lvl 1 - Get auto attack harassed at 600 range with no way to really retaliate. Lvl 2 - Watch as Annie CSes with her Q for free, while building up her passive. Lvl 3-5 - Watch as Annie CSes for free, if you try to do the same, you either get stunned or auto attack harassed for free. Lvl 6 - Above 70% HP? Great, you can CS for now. Below? Wait for the inevitable Flash + Tibbers + Ignite combo while you try to CS, but can't because of the free stun that never fades.
Lvl 6-18, Watch as Annie oneshots your entire team with Tibbers/Stun combos over and over.
Literally the only counterplay to Annie is either Galio or "safe" ranged waveclear mages, because God help you if you try to CS or lane as anyone else vs her.
