Preheat your oven to 400°F (200°C) and line a small baking sheet with parchment paper.
Trim the asparagus ends, toss with olive oil and a pinch of salt and pepper, then roast for 10-12 minutes until tender-crisp.
Pat the venison backstrap completely dry with paper towels and season all sides with the sea salt and black pepper.
Heat the ghee in a cast-iron skillet over medium-high heat until it is shimmering and very hot.
Place the venison in the skillet and sear for 3-4 minutes per side for medium-rare, then remove to a plate and tent loosely with foil to rest.
Lower the heat to medium and add the finely minced shallot and garlic to the same skillet, sautéing for 1 minute until fragrant.
Pour in the red wine and beef broth, using a wooden spoon to scrape up the browned bits from the bottom of the pan.
Add the thyme sprig and simmer the liquid for 5-7 minutes until it has reduced by half and thickened into a glossy sauce.
Slice the venison against the grain into medallions and serve immediately topped with the red wine reduction and the roasted asparagus.