The song was released as the first and the only single from Ieri, oggi, a 1982 compilation album issued exclusively for Italian market. It was written by Sergio Menegale and Raffaele Ferrato. Another Italian song from the album, "Buon viaggio", was released as the B-side. Both tracks were a departure from the disco-dance style and showcased more pop-oriented sound, rooted deeply in tradition of Italian music, with orchestral elements. That was one of Amanda's five singles of Ariola-days without Anthony Monn contributing production credits.
"Incredibilmente donna" was a modest hit in Italy, where it was often performed in various TV shows.
The music video for the track was shot in Italy, using the bluescreen technique. Four female dancers accompany Amanda. Slightly different version also exists and was shown in the 1983 TV special Ma chi è Amanda?. Scenes with the dancers are edited out and some new footage is included.