Begin by measuring out the shredded cheddar cheese and setting it aside for later.
Heat a saucepan over medium heat and add the butter, allowing it to melt gently with a soft bubbling sound.
Stir in the finely chopped jalapeño, cooking for about a minute until fragrant, and the pepper starts to soften with a slight sizzle.
Pour in the milk and whisk constantly until it begins to warm and slightly thicken, about 2-3 minutes.
Add the ground cumin and smoked paprika, stirring well to distribute the spices evenly throughout the warm milk.
Slowly sprinkle in the shredded cheddar, a handful at a time, whisking constantly to promote smooth melting and prevent clumping.
Continue whisking until the cheese is fully melted and the sauce is silky smooth, with a glossy appearance and gentle bubbling around the edges.
Season the queso with salt to taste and give it a final stir to combine all flavors evenly.
Pour the hot queso dip into a serving bowl or transfer directly to a warm serve dish. The sauce should be thick, smooth, and invitingly shiny.
Enjoy the queso warm, dipping tortilla chips, vegetables, or spreading it on your favorite snacks for a cheesy, smoky treat.