Start by letting your cream cheese sit out for about 30 minutes to properly soften.
In a large bowl, combine the softened cream cheese and buffalo sauce, mixing until smooth and evenly blended. The mixture should be a uniform orange color with no white streaks.
Fold in your shredded chicken and cheddar cheese. The mixture should hold together when squeezed.
Warm your tortillas slightly in the microwave (about 30 seconds, wrapped in slightly damp paper towels) – this prevents them from cracking when you roll them. Work with just 3-4 tortillas at a time, keeping the rest covered.
Place about 3 tablespoons of filling in a line across the bottom third of each tortilla. Roll them up tightly, like a cigar, and place seam-side down on a plate.
Heat your vegetable oil in a large skillet over medium heat. You’ll know it’s ready when a small piece of tortilla sizzles gently when dropped in.
Working in batches of 3-4, place the taquitos seam-side down in the hot oil. Cook for about 2-3 minutes per side, until they’re golden brown and crispy. They should make a hollow sound when tapped with tongs.
As you remove them from the pan, place them on a paper towel-lined plate to drain any excess oil. They’ll crisp up more as they cool slightly.
Drizzle with blue cheese or ranch dressing, sprinkle with chopped green onions, and serve with celery sticks while they’re still warm and crispy.