Enredé comes from the verb enredar, meaning to entangle, mess up, or get caught in something. It can describe a literal tangle, like knotted string, or an emotional one, like dragging someone else into your own troubles.
Gerardo Ortiz sings "Y te enredé entre mi cadena de problemas, ahí qué pena" (And I entangled you in my chain of problems, what a shame), admitting regret for dragging someone else into his mess.
Gerardo Ortiz's "Olvido" is a really honest and emotional song about the struggle of moving on from a past love. He sings, "El problema no es dejarla el problema es olvidarla" [The problem isn't leaving her, the problem is forgetting her], which perfectly sums up the whole feeling of the track. He's clearly still hung up on her, remembering "su cara su cama sus besos los recuerdos en mi pecho" [her face, her bed, her kisses, the memories in my chest] and even her "cuerpo, divino" [divine body].
It's not just about missing her, though; there's a lot of regret here too. He admits, "Me converti en un cobarde y te enrede entre mi cadena de problemas ahi que pena" [I became a coward and entangled you in my chain of problems, what a shame]. He blames his "celos, desprecios" [jealousy, contempt] for the end of their "Buenos tiempos" [good times]. Despite all this pain, he wishes her well, hoping she finds "Gente buena" [good people] and "con quien mirar las estrellas" [someone to look at the stars with]. He even hopes his memory won't "arruine una sonrisa" [ruin a smile] for her, which is pretty heartbreaking.