Cook the tortellini in a large pot of salted boiling water according to package directions until al dente, about the time indicated on the package (fresh tortellini cooks quickly).
Drain the pasta in a colander and rinse under cool running water until cooled; refrigerate or set aside until chilled.
In a small bowl, whisk together the extra virgin olive oil, lemon zest, lemon juice, chopped walnuts, and honey until emulsified; chill the dressing until ready to use.
Place the chilled tortellini in a large bowl, pour the chilled dressing over it, and toss to coat evenly.
Add the sliced green and red bell peppers, julienned red onion, sliced black olives, crumbled feta, and sliced cooked chicken; toss gently to combine.
Taste and adjust seasoning if needed, then serve chilled or cold.