Preheat the oven to 400°F (200°C) and line a rimmed baking sheet with parchment paper.
In a small saucepan over medium heat, combine the diced peaches, bourbon whiskey, and maple syrup.
Simmer the peach mixture for 8 to 10 minutes, stirring frequently, until the liquid reduces by half and peaches soften into a thick glaze.
Remove the glaze from heat and whisk in the Dijon mustard and smoked paprika until well incorporated.
Pat the salmon fillets dry with paper towels and arrange them on the prepared baking sheet.
Brush the salmon fillets with olive oil and season evenly with salt and black pepper.
Generously spoon the bourbon peach glaze over the top surface of each fillet.
Roast the salmon for 12 to 15 minutes, or until the internal temperature reaches 145°F (63°C) and the glaze is slightly caramelized.
Garnish with fresh thyme leaves and serve immediately.