Preheat a non-stick skillet over medium heat for about 2 minutes.

Add a small pat of butter and let it melt.

Crack one large egg into the skillet, seasoning with salt and pepper, and cook for 2-3 minutes until whites are set but yolk is runny.

Repeat with the second egg, then set both aside.

In the same skillet, add another small dab of butter and place one tortilla in.

Sprinkle half of the shredded cheese over the tortilla and layer in the fried eggs.

Add optional avocado slices and sprinkle the remaining cheese over the top.

Place a second tortilla on top, pressing down gently.

Cook for 2-3 minutes until the bottom tortilla is golden brown and crispy. Check frequently.

Flip carefully using a spatula and cook the second side for an additional 2-3 minutes until golden brown and cheese has melted.

Transfer the quesadilla to a cutting board, let cool slightly, and slice into wedges.