Spread a generous layer of prepared Southern Pimiento Cheese over one slice of sourdough.
Top with the second slice of bread.
Spread softened butter over the outside of both slices.
Heat a skillet over medium-low heat.
Place the sandwich in the skillet, cover with dome, and cook for about 3–4 minutes, or until the bottom is golden brown.
Carefully flip, cover with dome, and cook the second side for another 3–4 minutes, until golden and crisp and the cheese filling is hot.
Remove from the skillet, let rest for a minute, slice, and serve immediately.