The best champions out of lane to counter Kalista include Jarvan IV, Udyr, and Sejuani. These champions are all good at countering Kalista with win rates over 64%. Even if these Kalista counter picks are not used in your lane, it's not a good idea to play her into one of these matchups. They will very likely beat Kalista.
Conversely, if the opposing team picks either Ivern or Teemo, you should seriously consider taking her, as she easily wins against these champions with win rates over 55% against each ofthem.
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