Put the chicken, lime juice, honey, red curry paste, and cilantro into a medium bowl and mix well by hand.
Cut the Ile de France Goat Cheese into ¼ inch half moon shaped pieces. Lay out 10 wonton wrappers in a row. Put 1 half moon shaped piece of goat cheese into the center of each square. Top with 1tsp. of chicken mixture.
Working quickly, dip your fingers into the water and moisten the edges of the wonton. Fold it over the filling to form a triangle, pressing well to seal. Curl the 2 points in towards each other, moisten 1 point and press them together to form a bishop's hat. Repeat with the remaining wontons.
Pour 3 inches of the vegetable oil into a large saucepan and place over medium heat. When ready to cook, drop the wontons into the hot oil in batches of 6 until puffed and golden, about 3 minutes. Remove and let the excess oil drain.