All music conveys emotion. Handel lived in a time when reason ruled, and emotion was mistrusted. Yet he wrote "The Messiah" an emotional piece of music if ever there was one. To hear it sung by some church choir diva, who feels nothing, is not a happy experience.   
Unless you are made of stone, there are some songs that are going to make you feel, and that emotion is going to come through in your singing. This is not, necessarily a bad thing.
                Once more! With feeling!