John Lannert of
Billboard noted that the track "strongly resembles" to her breakout hit, "
Estoy Aquí" (1995).
The Dallas Morning News critic Mario Tarradell regarded "Ciega, Sordomuda" as "an obvious first single" with its "jittery pop-rock feel" and also made a comparison to "Estoy Aquí". Mark Kemp, writing for the book
The New Rolling Stone Album Guide, felt that the artist "pays tribute to her Latin roots in the Spanish guitars and trumpets". The
Latin Beat Magazine editor Franz Reynold called the song a "mid-tempo rocker dedicated to the horrors of emotional co-dependency-with mariachi-style brass flitting in and out of the spare vocal and the airy strum of guitars." Ramiro Burr of the
San Antonio Express-News found it to be one of the album's "catchy tunes", while a writer for
The Asahi Shimbun found the track to be "especially addictive". On the review of the album for
Newsday, Richard Torres observed the "cry of individuality" in the song. "Ciega, Sordomuda" was nominated in the category of
Pop Song of the Year at the
11th Annual Lo Nuestro Awards in 1999, but ultimately lost to "
La Copa de la Vida" by
Ricky Martin. It was acknowledged as an award-winning song at the 2000
BMI Latin Awards. "Ciega, Sordomuda" ranked number 89 on
Billboards "The 98 Greatest Songs of 1998", with
Leila Cobo noting that the song "broke completely with everything popular Latina musicians had been doing up to that point". In the US, "Ciega Sordomuda" debuted at number seven on the
Billboard Hot Latin Songs chart on the week of 24 October 1998. It reached the summit a month later, spending three weeks at this spot. The song also topped the
Latin Pop Airplay chart and peaked at number seven in Spain. ==Promotion and live performances==