Preheat oven to 400 degrees F (200 degrees C). Adjust oven rack to its topmost position. Lightly oil a baking sheet.
Toss the diced tomatoes with the wine, and spread out on baking sheet. Roast in preheated oven until the tomatoes have dried a bit, but have not begun to burn, about 15 minutes. When the tomatoes are just starting to turn brown at the edges, remove, and allow to rest at room temperature.
Meanwhile, melt the coconut oil in a large saucepan over medium-high heat. Stir in the garlic, onion, and celery. Cook and stir until the onion has softened and turned translucent, 5 to 7 minutes. Pour in vegetable broth and quinoa, and bring to a boil over high heat.
Reduce heat to medium-low, cover, and simmer until the quinoa is tender and the liquid has been absorbed, 15 to 20 minutes. Stir in the Parmesan cheese, evaporated milk, peas, and tomatoes. Season with salt and white pepper.
