In a large pot or Dutch oven, melt the butter over medium heat. Once melted, whisk in the flour to create a roux. Stir continuously for about 2-3 minutes until the mixture is bubbly and golden.
Gradually pour in the chicken stock while whisking to prevent lumps. Continue to stir until the mixture is smooth and begins to thicken.
Stir in the white pepper, diced jalapeƱos, and the can of Rotel Diced Tomatoes & Green Chilies. Allow the mixture to come to a gentle simmer.
Lower the heat and add the pint of half and half, stirring gently to combine. Next, gradually mix in the shredded Monterey Jack and cheddar cheese blend, allowing it to melt and create a creamy texture.
Fold in the cooked diced chicken, letting it heat through in the soup for about 5 minutes. Taste and adjust seasoning if needed.
Ladle the soup into bowls and top with guacamole, a sprinkle of shredded cheese, and deep-fried tortilla strips for that perfect crunch. Enjoy your Full Moon Cafe Chicken Tortilla Soup hot!