Recházame is the command form of the verb rechazar (to reject), so it literally means "Reject me!". It's a powerful and dramatic word that you don't hear every day, especially in a love song.
In this bachata classic, Prince Royce isn't begging for love; he's begging to be pushed away. He sings "Ay, recházame, es que no puedo aceptar tu amor" (Oh, reject me, because I can't accept your love) as their love is forbidden because they are both in other relationships. This unusual plea is the central theme of the song, creating a compelling story of temptation and heartbreak.
This song is one of bachata's favorite stories: a forbidden love affair. Prince Royce is singing to someone he's fallen for, but there's a huge problem. He sings, "Es que yo tengo mi mujer / Y tú tienes tu novio" (It's that I have my woman / And you have your boyfriend). They've been seeing each other in secret, and even though he admits he's happy with her, he knows it's a dead end.
Instead of breaking up with her himself, he begs her to do it for him. The whole chorus is a plea: "Ay, recházame" (Oh, reject me). He feels the pull of their connection is too strong, saying "Me matará la tentación" (The temptation will kill me), and he doesn't want to be unfaithful. It's a dramatic song about wanting to do the right thing, even when it hurts, and needing the other person's help to be strong enough to go through with it.