1Cook linguine, separately according to the package directions. Drain well and set aside.
2Snap off the tough ends of the asparagus. Remove scales from the stalks with a knife or vegetable peeler, if desired. Cut spears into 1 1/2 inch pieces. Cook the asparagus, covered, in a small amount of boiling water for 6 to 8 minutes or until crisp-tender. Drain.
3Saute the chicken in butter in a large skillet until lightly browned. Add the red pepper strips and shallots, and saute for 1 minute. Add the asparagus, and cook until thoroughly heated. Stir in the cream and the crushed red pepper. Add the blue cheese, tarragon, and black pepper; cook until cheese melts, stirring frequently.
4Combine the chicken mixture and linguine; toss gently. Sprinkle with Parmesan cheese. Serve immediately.