Sauté the aromatics: In a large saucepan, heat 2 teaspoons (10 ml / 0.3 fl oz) of canola oil over medium heat.
Add the chopped onion and cook for 5 minutes until tender.
Stir in the carrots and garlic and cook for 1 more minute until fragrant.
Simmer the soup: Pour in the vegetable broth and edamame.
Bring the mixture to a boil, then reduce the heat and simmer, uncovered, for about 5 minutes until the vegetables are tender.
Stir in the snipped fresh thyme.
Prepare the crouton station: While the soup simmers, set up your breading station.
In a small bowl, whisk the egg white and water until frothy.
In a second small bowl, add the panko bread crumbs.
Coat the feta: Dip each feta cube into the egg white mixture, allowing the excess to drip off. Immediately roll the cube in the panko crumbs, pressing gently to ensure all sides are coated.
Pan-fry the feta croutons: Heat the remaining 2 teaspoons (10 ml / 0.3 fl oz) of oil in a large skillet over medium-high heat. Carefully add the coated feta cubes and cook for 2-3 minutes, turning gently, until all sides are golden brown and crisp.
Transfer to a paper towel-lined plate to drain.
Serve: Ladle the soup into bowls and top with the warm feta croutons.
Garnish with extra thyme leaves if you like.