Put the bacon in a cold medium saucepan and cook over medium-high heat, stirring occasionally, until golden, about 6 minutes. Pour off all but 3 tablespoons of the bacon fat from the saucepan. Add the garlic and cook, stirring, until golden, about 3 minutes. Add the shiitakes and cook, stirring, until browned, about 6 minutes.
Pour in the chicken broth, soy sauce, and Worcestershire and bring to a boil. Add the ramen and boil until tender, about 2 minutes.
Remove the broth from the heat and stir in the shrimp. Let stand until the shrimp are cooked, 1 to 2 minutes. Serve topped with the chives.
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