Enpidiera is a less common, slightly archaic form of "impidiera" (from the verb "impedir"), meaning "prevented" or "hindered." It's a word that adds a touch of traditional flavor to the lyrics.
In the song, Antony Santos sings, "No soy culpable de que esa boda la enpidiera tu familia" (I'm not to blame that your family prevented that wedding). This word is interesting because it highlights a dramatic conflict in the narrative, making the listener curious about the story behind the prevented wedding.
Antony Santos spends this entire song announcing a trip he has not made yet. He is headed to the house of "La mujer que me domina" (the woman who rules me), and the chorus keeps stacking conditions he intends to ignore: "Aunque llueva" (even if it rains), "O aunque se hunda la tierra" (or even if the earth sinks), "Aunque peleo con cualquiera" (even if I have to fight anybody). Before any of that he stops to bless every woman alive, "India, blanca, y morena" (Indian, white, and dark skinned), which is a strange detour for a man supposedly in a hurry, and a very bachata one.
The reason she is not already with him turns up halfway through, and it is oddly specific: her family blocked the wedding, and "No soy culpable" (I'm not to blame). So the swagger has an excuse built into it. By the end he is not even going himself, he is sending word through a friend, "Dígale" (tell her), over and over until somebody listens, then pleading with her directly to "abre la ventana" (open the window) and "abre la persiana" (open the blind). Six minutes of guitar, and a man outside a house, still talking.