For those who (like me) had never heard the term Suadero before, here’s the Wiki entry:
Suadero, in Mexican cuisine, is a thin cut of meat from the intermediate part of the cow or pork between the belly and the leg.[1] Suadero is noted for having a smooth texture rather than a muscle grain. Typically, suadero is confited or fried and used as a taco filling.
Suadero, also known as matambre in Argentina and sobrebarriga in Colombia, is the name of a very thin cut of beef in Argentina, Paraguay and Uruguay, taken from between the skin and the ribs,[1] a sort of flank steak. In Mexico City, México; it is very common and popular, offered mainly on street taco stands; but also eaten in sandwiches (tortas) and in a sort of round thick hollow fritters, made of corn dough; served hot, flat and filled with various meats, garnishes and sauces; called gorditas.
See also: and ex-bf used to lovingly call me gordita, so I do recognize that term. 
