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Instructions
Place carrots and onion in a microwave-safe bowl; add water. Cover and microwave on high until tender, about 4 minutes.
Heat oil in a large pot over medium heat. Whisk in 1/2 cup plus 2 tablespoons flour to form a paste, 1 to 2 minutes. Stir in curry powder. Whisk in hot vegetable stock slowly until incorporated and smooth, about 3 minutes. Stir steamed carrots and onion, soy sauce, and maple syrup into the curry broth.
Bring a large pot of water to a boil. Cook udon noodles in boiling water, stirring occasionally, until noodles are tender yet firm to the bite, 10 to 12 minutes. Drain. Add noodles to curry broth.