Heat olive oil in a large skillet over medium heat.
Add chopped chicken and cook until no longer pink, about 6-7 minutes.
Stir in garlic and onions. Cook another 2-3 minutes until softened.
Sprinkle in salt, pepper, paprika, and thyme. Stir well to coat.
Add cauliflower and pour in chicken broth. Cover and steam for 5-7 minutes until cauliflower is tender.
Reduce heat to low. Stir in heavy cream and cream cheese until melted and combined.
Add shredded cheddar and stir until the sauce thickens slightly.
Taste and adjust seasoning if needed. Garnish with parsley before serving.