How to counter Qiyana
Let us take a look on how to beat Qiyana. We will look at champions who are strong against Qiyana and who are weak against Qiyana. Use win rate, gold difference and creep score difference at minute 10 to find the best 
Jungle champion who counters Qiyana. You can already win in champion select with the right counters for Qiyana. If you want to know how to counter Qiyana then you need to take into account the best picks vs Qiyana and the worst picks vs Qiyana. This Qiyana counter data is based on matches played by Pros on patch 14.21 and previous ones. It is important to see whether Pros counter picked Qiyana or whether they played as Qiyana.
Champions used by Pros to counter pick Qiyana
Looking at the matches from Pros (see table Pros counter picked Qiyana) we can see that they picked 
Lee Sin most often to counter pick Qiyana. The matchup Lee Sin vs Qiyana occured 7 times. Qiyana has 6 wins and 1 losses in this matchup. Learn how to counter pick Lee Sin to get another perspective on the data.
Lane outcome for Qiyana
When looking at Qiyana 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 Qiyana. The lane outcome of Qiyana consists of three outcomes: Win, Loss or Draw. Let's take a look of Qiyana 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 Qiyana.
Conclusion
Analyze the available data and learn how to beat Qiyana. To master Qiyana take also a look on Qiyana builds and runes for Qiyana. Good luck, Summoner!