How to counter Annie
Let us take a look on how to beat Annie. We will look at champions who are strong against Annie and who are weak against Annie. Use win rate, gold difference and creep score difference at minute 10 to find the best 
Mid champion who counters Annie. You can already win in champion select with the right counters for Annie. If you want to know how to counter Annie then you need to take into account the best picks vs Annie and the worst picks vs Annie. This Annie counter data is based on matches played by Pros on patch 13.24 and previous ones. It is important to see whether Pros counter picked Annie or whether they played as Annie.
Champions used by Pros to counter pick Annie
Looking at the matches from Pros (see table Pros counter picked Annie) we can see that they picked 
Orianna most often to counter pick Annie. The matchup Orianna vs Annie occured 5 times. Annie has 2 wins and 3 losses in this matchup. Learn how to counter pick Orianna to get another perspective on the data.
Lane outcome for Annie
When looking at Annie counters you will notice that win rates alone are not conclusional. Therefore we provide an overview (see table Lane Outcome) where you can see the lane outcome of Pros who played Annie. The lane outcome of Annie consists of three outcomes: Win, Loss or Draw. Let's take a look of Annie lane and match outcome for specific matchups. Considering the lane outcome and the match outcome of a specific matchup, might enable you to find the right counter for Annie.
Conclusion
Analyze the available data and learn how to beat Annie. To master Annie take also a look on Annie builds and runes for Annie. Good luck, Summoner!