She roasts the carrots and shallots along with the mustard-coated pork loin; then she uses the drippings to make a sauce.

Direction

1. In a small bowl, whisk the Dijon and whole-grain mustards with the grated lemon zest, thyme and butter. Set 2 tablespoons of the mustard mixture aside. Season the pork with salt and pepper and spread the rest of the mustard mixture all over it. Let stand at room temperature for 2 hours or refrigerate overnight.
2. Preheat the oven to 350°. In a medium saucepan of boiling salted water, blanch the carrots for 2 minutes. Using a slotted spoon, transfer the carrots to a bowl. Add the shallots to the saucepan and cook for 4 minutes. Drain and halve the shallots lengthwise and add to the carrots. Add the wine, garlic, crushed red pepper, 1/4 cup of the stock and 1 tablespoon of the olive oil to the vegetables and toss well. Spread the vegetables around the edge of a shallow roasting pan, setting the shallots cut sides down. Leave enough room in the center for the pork.
3. In a large nonstick skillet, heat the remaining 1 tablespoon of olive oil. Add the pork loin and cook over moderately high heat until browned on 2 sides, about 6 minutes total. Nestle the pork in the vegetables and roast for about 45 minutes. Turn the pan 180 degrees, add 1/2 cup of the stock and roast for about 20 minutes longer, until an instant-read thermometer inserted into the thickest part of the meat registers 140°
4. Transfer the pork to a board. Roast the vegetables on the bottom shelf for 15 minutes longer, until very tender; transfer to a bowl and keep warm. Set the roasting pan over moderately high heat, add the remaining 1/2 cup of stock and simmer for about 1 minute, scraping up the browned bits. Add the vinegar and bring to a simmer. Off the heat, whisk in the reserved 2 tablespoons of mustard and season with salt and pepper. Slice the pork and serve with the vegetables and sauce.