The top champs not in lane to counter Taliyah include Kalista, Samira, and Jinx. These champions are all great at countering Taliyah with high win rates over 60%. Even if these Taliyah counter picks are not played in the same position as you, it's not a good idea to choose her into these matchups. They will most often crush Taliyah.
Yet, if the other team brings either Amumu or Karthus, you should seriously consider selecting her, as she easily beats these selections with win rates over 54% against each ofthem.