* Embarrassed: "She simpered, blushing furiously as he complimented her on her dress."
* Flirty: "He simpered at her, hoping his charm would win her over."
* Insincere: "The politician simpered at the crowd, offering empty promises and platitudes."
* Submissive: "The young boy simpered at his father, hoping to avoid punishment."
* Humorous: "The comedian simpered at the audience, pretending to be shy and innocent."
As you can see, "simpered" often conveys a sense of nervousness, insincerity, or even a touch of obsequiousness.