Consigna can mean a directive, a motto, or even a password. It's a less common word in everyday Spanish songs, making it stand out.
In "Dejame Llorar," the singer uses it to express a firm resolve: "Ya tengo la consigna de olvidar" (I already have the directive/motto to forget). It conveys a sense of having made a strong, almost official, decision to move on, adding weight to his emotional struggle.
Ulices Chaidez's "Dejame Llorar" is a heartfelt plea from someone going through a tough breakup. Our singer is telling their ex, "No me pidas que te olvide de un día para otro" [Don't ask me to forget you from one day to the next]. They're not ready to move on and need time to grieve, asking their ex to "déjame llorar" [just let me cry].
It's clear this breakup hit them hard, as they admit, "Lo que para ti fue fácil, para mí, es difícil / Dejarte de amar" [What was easy for you, for me, is difficult / To stop loving you]. They even ask their ex to take all the memories with them to make it easier to resist reaching out. The singer is firm about not wanting their ex to come back, saying, "Y te pido de favor que ya nunca regreses" [And I ask you as a favor to never return], because it would only hurt them more. This song is all about the painful process of healing and the importance of giving yourself space to feel everything.