Dude Annie is so bad right now.
They nerfed her AOE stun from Tibbers so she can no longer Flash Insta-stun more than 1 target in any decent elo. This was the only reason to pick her before... now what you're left with is a very short-ranged Mage who can only 1 vs 1 people and has a fleeting window of strength from level 6-9 before being irrelevant.
Also, the changes to Zhonya (less AP) means that you can no longer rush it on her if you want do respectable damage. Old Annie could rush it... Flash and Insta-Stun/Burst half the enemy team, and then go Zhonyas as the rest of the team goes in for clean up. Now you have to go damage right off the bat and you're much worse off defensively.
If you want to beat her in lane, there are tons of options. Vladimir, Zed, Lux, Viktor etc Her short-range is easily punished and if she trades back, she just burns her mana off for no real damage. Plus you can see her stun bar, if she holds it, you just poke her with your long range spells when she moves to last hit.