In a medium saucepan over medium heat, melt the butter. Once fully melted, whisk in the flour, stirring constantly to combine. Cook the mixture for 1-2 minutes, ensuring the flour and butter are evenly blended.
Gradually pour in the milk, whisking continuously until the mixture is heated through and thickened slightly, about 1-2 minutes.
Stir in the Dijon mustard, garlic powder, paprika, salt, and black pepper. Continue whisking for another minute, allowing the flavors to meld together.
Lower the heat and add the beer, whisking until fully incorporated. Then, gradually fold in the shredded cheddar cheese in two separate additions, ensuring each batch is completely melted and smooth before adding the next.
Serve immediately with soft pretzel bites or your favorite dipping companions. Optionally, garnish with finely minced parsley for a burst of color.
This beer cheese dip can be stored in an airtight container in the refrigerator for up to 5-7 days. Simply reheat on low heat, stirring occasionally, to restore its creamy consistency.