01 - Preheat oven to 400°F. Line a rimmed baking sheet with parchment paper and set aside.
02 - Using a sharp knife, carefully halve the spaghetti squash lengthwise. Scoop out and discard the seeds and stringy pulp from the center. Lightly brush the cut sides with olive oil if desired.
03 - Place the squash halves cut-side down on the prepared baking sheet. Roast for 35 to 40 minutes until the flesh is fork-tender and the strands separate easily when pulled with a fork.
04 - While the squash roasts, melt the butter in a medium saucepan over medium heat. Whisk in the gluten-free flour and cook, stirring constantly, for 1 minute to form a smooth roux.
05 - Slowly pour in the milk while whisking continuously to prevent lumps. Bring the mixture to a gentle simmer, stirring constantly, and cook for 2 to 3 minutes until the sauce thickens enough to coat the back of a spoon.
06 - Remove the saucepan from heat. Add the shredded cheddar, grated Parmesan, garlic powder, ground mustard, salt, and black pepper. Stir until all the cheese has melted and the sauce is smooth and creamy.
07 - Once the squash is cool enough to handle, use a fork to scrape the flesh into spaghetti-like strands. Transfer the strands to a large bowl and gently toss with the cheese sauce until evenly coated.
08 - Transfer the coated squash mixture to a greased baking dish. In a small bowl, combine the gluten-free panko, Parmesan cheese, and melted butter. Sprinkle the topping evenly over the squash. Broil on high for 2 to 3 minutes until the topping is golden brown and crispy.
09 - Serve warm, garnished with additional Parmesan cheese or fresh herbs if desired.