Using a spiralizer, make ribbons of beets. Fill a large saucepan two-thirds full of water and 2 teaspoons salt. Over high heat, boil water. Add beet ribbons and cook until tender, 1 to 3 minutes. Chill in an ice bath. Drain and dry ribbons with paper towels.
To make dressing, in a single-serve blender, add orange juice, oil, vinegar, honey, thyme leaves, garlic, remaining 1 teaspoon salt, and black pepper. Blend until slightly thickened.
On a salad plate, arrange fresh greens, beet ribbons and orange segments. Top with goat cheese and toasted walnuts.