In a small bowl add the honey, soy sauce, ginger, garlic, red pepper, and mix until combined.
Place the peeled and deveined shrimp into a bowl and add 1/3 of the sauce. Toss and marinate for 30 minutes.
Whisk in the cornstarch to the reserved marinade and set aside.
Heat a skillet or wok on high heat, add olive oil and broccoli, salt and pepper and cook 5-6 minutes just until soft. Remove from pan and set aside.
Add the butter to the skillet and add shrimp discarding any marinade. Cook until the shrimp turns pink about 2 minutes on each side.
Add in the reserved sauce and bring to a low-medium simmer until thickened about 2-3 minutes.
Add in the broccoli and toss until heated through.
Serve over rice or pasta