Pour beer into a bowl and whisk until beer loses its carbonation, about 30 seconds. Set aside.
Place shredded cheese into the work bowl of a food processor; add garlic, dry mustard powder, black pepper, ½ teaspoon cayenne pepper, salt, hot sauce, Worcestershire sauce, and flat beer.
Process until smooth and creamy, pulsing a few times, scraping the sides, and blending for about 2 total minutes. Taste and adjust seasoning. If adding more seasoning, pulse a few times to mix.
Transfer cheese spread to a bowl and sprinkle with a pinch of cayenne pepper. Spread tastes best when refrigerated overnight to blend flavors, but it can be served right away if needed.