Cook grits according to package directions; set aside and keep warm.
Heat oil in a large skillet over medium-high heat. Add tasso and saute until crisp. Add diced vegetables and saute until onions are translucent. Add shrimp and saute for 30 to 45 seconds, or until pink. Remove from the pan and set aside. Deglaze the pan with a little white wine. Slowly add the cream and let reduce until thickened. Season with salt and pepper, to taste.
Divide grits among 2 serving plates. Line plate edges with shrimp (10 shrimp per serving). Pour sauce over grits. Garnish with green onion tops.
For a great wedding idea, use martini glasses to serve shrimp and grits, with the grits on the bottom and shrimp and sauce on top.