In a medium saucepan, combine sugar, cream, coffee, and vanilla. Cook over medium heat, stirring occasionally, until mixture boils. Reduce heat to low, and simmer for 5 minutes. Stir in chocolate, shortening, and salt, stirring until chocolate melts and mixture is smooth.
Let frosting stand, stirring occasionally, for 1 hour or until cooled to room temperature and thickened. Use immediately.