Real Welsh Rarebit

INGREDIENTS

• 1/4 cup butter
• 1/4 cup all-purpose flour
• 1/2 teaspoon salt
• 1/4 teaspoon pepper
• 1/4 teaspoon dry mustard
• 1/4 teaspoon Worcestershire sauce
• 2 drops hot pepper sauce (such as Tabasco®) (optional)
• 1 cup whole milk
• 1/2 cup beer
• 1/2 pound Cheddar cheese, shredded