Which Tex-Mex dish is made by filling a tortilla and then deep-frying it?

The Tex-Mex dish made by filling a tortilla and then deep-frying it is a chimichanga.

A chimichanga is generally a flour tortilla wrapped around a savory filling, often including seasoned beef, chicken, beans, or cheese. The tightly folded tortilla is fried until crisp, giving the dish a browned exterior and a hot filling.

Its exact origin is disputed. Popular stories place its invention in Arizona restaurants during the mid-20th century, with competing claims from Tucson and Phoenix. Because the dish is strongly associated with the American Southwest, it is often described as Mexican-American or Tex-Mex rather than a traditional dish from one specific Mexican region.

A chimichanga differs from a burrito mainly through the frying step. A burrito is usually served soft, while a chimichanga has a crisp shell created by deep-frying.