Bring the water to a boil then add the quinoa and a pinch of salt. Cover the pot with a lid and reduce the heat to medium-low. Cook for 15 minutes, remove from the heat and let it sit with the lid on for an additional 5 minutes. Then remove the lid and fluff with a fork. Set aside.
Heat a large skillet over medium heat with 1 tablespoon of olive oil. Once hot, add in the diced carrots and cook for 10 minutes until easily pierced with a fork, but still firm.
Then add in the diced shallots and bell pepper and cook with the carrots for an additional 5 minutes, stirring occasionally.
Add the sautéed vegetables to the bowl of a food processor along with the cooked quinoa, breadcrumbs, egg, tomato paste, smoked paprika, Worcestershire sauce, and kosher salt.
Pulse the mixture a few times until it's mixed but not blended. Scoop out the mixture and use your hands to form it into patties.
Heat the remaining tablespoon of olive oil over medium heat and cook the burgers on each side for 8-10 minutes or until golden brown.
Makes 7 patties (though the quantity may vary depending on the size of your patties).