I found this recipe on the Epicurious web site and modified it. I served it to my daughter-in-law's mom, who does not low carb, and she loved it. The recipe as I changed it is as follows:

GRILLED CHICKEN WITH GREEK SALAD AND TSATSIKI SAUCE

For tsatsiki sauce
1/2 cucumber, peeled, seeded, and finely chopped (1 cup)
1 cup plain whole-milk yogurt
1 teaspoon fresh lemon juice
1 small garlic clove, minced
1/4 teaspoon salt
1/4 teaspoon black pepper
1/4 cup chopped fresh mint

For chicken
4 skinless, boneless chicken breasts
1 tablespoons fresh lemon juice
2 T olive oil
1/2 teaspoon salt
1/4 teaspoon black pepper

For Greek salad
1/2 lb romaine, torn into bite-size pieces
1/4 cup loosely packed fresh mint leaves
1 cup cherry or grape tomatoes, halved
1/2 cucumber, peeled, halved lengthwise, seeded, and cut into 1/4-inch-thick slices
1/2 cup pitted Kalamata olives, halved lengthwise
2 tablespoons fresh lemon juice
1/4 cup olive oil

Make tsatsiki sauce:
Purée yogurt, lemon juice, garlic, salt, and pepper in a blender until smooth; add cucumber and mint. Chill, covered, until serving.

For chicken:
Mix lemon juice, oil, salt and pepper. Cook chicken on grill, basting with mixture.

Toss together salad ingredients in a bowl and season with salt and pepper.

Divide salad onto 4 plates, top each with a chicken breast half and drizzle with tsatsiki sauce. Makes 4 servings.