Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper.
In a small bowl, whisk together the olive oil, honey, balsamic glaze, Dijon mustard (if using), salt, and black pepper until well combined.
Place the peeled and trimmed carrots into the bowl. Drizzle the honey balsamic glaze mixture over the carrots, ensuring they are evenly coated.
Arrange the coated carrots in a single layer on the baking sheet, leaving some space between them for even roasting. Sprinkle fresh thyme leaves (or place whole sprigs) over the glazed carrots.
Roast the carrots in the preheated oven for about 25-30 minutes, or until they become tender and slightly caramelized. Remember to check and give them a gentle toss or shake halfway through the cooking time.
Once the carrots are roasted, remove them from the oven. Just before serving, sprinkle crumbled feta cheese generously over the roasted carrots. The warmth of the carrots will slightly melt the feta, creating a creamy and tangy contrast. Enjoy!