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Preheat broiler. Spread one side of bread slices
with 2 tablespoons
butter (total), then arrange slices, buttered sides
up, on a baking
sheet. Broil 4 to 6 inches from heat until golden
brown, 1 to 4
minutes.
Melt remaining tablespoon butter in a 1-quart heavy
saucepan over
low heat, then add flour and cook, whisking constantly,
1 minute. Add
beer and milk in a stream, whisking, then whisk
in mustard, pepper,
and cheese. Bring to a simmer over moderately low
heat, whisking,
then simmer, whisking, until smooth, about 2 minutes.
Remove from heat and immediately whisk in yolk.
Serve cheese sauce
on toast.
