Bring a large pot of salted water to a boil over medium-high heat, then cook the protein pasta according to package directions until al dente.
Drain the pasta and rinse it under cold water until completely cooled; set aside to prevent it from sticking together.
While the pasta cools, prepare the vegetables by halving the cherry tomatoes, dicing the cucumber, and slicing the kalamata olives if needed.
In a large mixing bowl, add the Greek yogurt, red wine vinegar, Dijon mustard, lemon juice, Italian seasoning, salt, and black pepper, then whisk until smooth and fully combined.
Add the tomatoes, cucumber, olives, feta cheese, and cooked chicken to the dressing, stirring gently until everything is evenly coated.
Add the cooled pasta to the bowl and mix thoroughly until the pasta is fully coated and all ingredients are evenly distributed.
Taste the pasta salad and adjust seasoning with additional salt, pepper, or lemon juice if desired.