Preheat your oven to 400°F (200°C) and line a small baking dish or rimmed baking sheet with parchment paper.
Trim the woody ends off the asparagus and toss the spears with olive oil, sea salt, black pepper, and garlic powder directly on the tray.
Roast the asparagus for 8 minutes until they are bright green and slightly tender.
Remove the tray from the oven and arrange the asparagus into four small bundles or 'nests'.
Carefully pour the egg whites into the base of the baking dish or around the asparagus bundles.
Crack one whole egg into the center of each asparagus nest, being careful not to break the yolks.
Sprinkle the crumbled feta cheese evenly over the eggs and asparagus.
Return to the oven and bake for 10 to 12 minutes, or until the egg whites are fully opaque and set, but the yolks remain soft.
Garnish with finely chopped fresh chives and serve immediately while warm.