Heat up a Dutch oven pan over medium-high heat. Add butter and oil, then cook chicken breasts. Set chicken breasts aside on a plate to dice later.
Into the same pot, add the chopped veggies and saute with the seasonings.
Add in cubed chicken along with a can of coconut milk. Mix, then add the broth along with rice and frozen veggies.
Bring to a boil and then cover and simmer about 20 minutes until rice is fully cooked and has absorbed most of the liquid. Turn off the heat, top with cheese. Transfer to oven and broil for a few minutes to melt and toast the cheese. Alternatively, if you have extra time, you can bake it at 350 for 30 minutes to crisp the whole thing up some more. This is my preference!