Preheat oven to 325F / 170C / Gas Mark 3.

Preheat outdoor gas grill.

1. Dip chicken first in butter on both sides, then in cajun seasoning. Set aside on platter.

2. Fill medium pot with water 2/3 full and bring to boil. Place fettuccine in boiling water and separate gently with pasta fork.

3. Put chicken breasts on HOT grill, close lid, cook 4 minutes.

4. Remove pasta and rinse and drain, place in warm spot.

5. In the pot you used for the pasta, melt butter over low heat. Turn chicken on grill, and grill the pieces of bell pepper while chicken finishes cooking, about 3 minutes. Remove cooked chicken and peppers from grill, quickly cover with aluminum foil and place in preheated oven.

6. Add half and half and cayenne to melted butter, place cooked fettuccine in pot, and toss together with sauce.

To serve, slice each chicken breast in 1/2" slices lengthwise. Divide pasta among four plates, and place one sliced breast over top of pasta on each plate. Garnish with the green onions and grilled peppers.