Place Brussels sprouts in saucepan with enough water to cover.
Add juice. Simmer, uncovered, 8 to 10 minutes, until tender.
Drain.
Meanwhile, melt butter in small saucepan. Stir in flour; cook 1 to 2 minutes. Gradually whisk in milk; cook, whisking, until sauce thickens, about 2 minutes. Stir in cheese, salt, pepper, nutmeg and cayenne.