Welsh Rarebit

I realize that authentic Welsh Rarebit has beer in it, but since we don't drink alcohol, this is my version of it, and we absolutely love it. I tweaked the original recipe to my liking and it turned out perfect. I brushed some melted butter on sliced french bread, toasted it and served the sauce over that and it was a definite winner!

Welsh Rarebit

4 TBSP. butter
1/2 cup flour
1 cup chicken broth
3 cups milk
1 tsp. salt
pepper to taste
1/8 tsp. paprika
hot sauce to taste (about 1/2 - 1 tsp.)
2 tsp. Worcestershire sauce
4 cups sharp cheddar cheese 

In a large saucepan medium heat, melt the butter. Whisk in the the flour and let cook for 2-3 minutes while whisking to cook out the "flour" taste. Whisk in the broth, milk, salt, pepper, and paprika. Bring to a boil and cook until thickened. Whisk in the hot sauce and Worcestershire sauce. Stir until well mixed. Whisk in the cheese, stirring really well until the sauce is smooth and the cheese is completely melted. Serve immediately over toasted bread of choice.
Makes about 7-8 cups.