Preheat oven 230°C fan forced. Place beetroot in a single layer onto a microwave-safe plate. Cover with damp paper towel, microwave 5 minutes on High.
Meanwhile, combine oil, thyme, chilli and season salt and pepper. Mix well. Arrange pears in large roasting pan, spoon over half the oil mixture, turn to coat. Spoon the hot beetroot on a large sheet baking paper, spoon over remaining oil mixture. Gather the baking paper edges and twist to secure. Add to the pan with the pears.
Roast 25-30 minutes, turning pears once, until pears and beetroot just tender. Remove from the oven. Remove the beetroot from the paper. Cool 15 minutes.
Whisk dressing ingredients together. Add the rocket or spinach to the pears and beetroot. Crumble over the feta and sprinkle with dukkah. Spoon dressing over the salad. Season, toss gently to serve.