If you are the support, just make sure you keep track of your dying minions. If she goes for last hit, punish her. Especially if you're blitzcrank, pre-6 she is so weak that one grab is a kill for your ADC. After level 6, you have to make sure the river is warded before you try to trade with her (it's so bad when their jungler appears just as you are about to kill her), try to bait her ult (if you're Leona, try engaging, and disengaging immediately after she uses her ult) and wait until she doesn't have it, then trade with her. Also, make sure you build a Randuim or a Frozen Heart (Frozen Heart is better in my opinion), as it slows her AS, making it harder for her to proc her passive.
ADC Counterpicks are Jinx and Kog'maw for Hyper-Carries. Lucian and Graves for being complete lane bullies. Quinn and Varus for niche picks. Yasuo for anti-meta.