Cut the butter into tablespoon-sized pieces and let sit at room temperature. Measure out all remaining ingredients and have them within reach before turning on the heat.
Pour the hot sauce and white vinegar into a small saucepan over medium heat, whisking occasionally until small bubbles form around the edges, about 3–4 minutes — do not let it reach a full boil.
Reduce heat to low and add the butter in three additions, whisking constantly after each until fully melted and incorporated — the sauce should look glossy and cohesive, not oily or separated.
Whisk in the Worcestershire sauce, cayenne pepper, garlic powder, and paprika, and continue whisking for 30 seconds to distribute evenly.
Allow the sauce to gently simmer on low heat for 3–5 minutes, whisking occasionally, until it thickens slightly and coats the back of a spoon.
Remove from heat, let cool 1–2 minutes, then taste and adjust — add salt if flat, more cayenne for heat, extra butter to mellow spice, or honey for sweetness.
Optionally pour through a fine-mesh strainer for an ultra-smooth texture, then transfer to a clean airtight glass jar and cool to room temperature before refrigerating.