She became a member of the SED and lived in Lehnitz, a district of the town of Oranienburg, from 1954 until 1959 where she enjoyed a privileged and unburdened existence.
In autumn of 1953, she became acquainted with Heiner Müller at a function of the Young Authors Working Group (Arbeitsgemeinschaft Junger Autoren).
She began an affair with Heiner's 16-year-old brother Wolfgang Müller in 1956 which failed and relations with her husband worsened noticeably.
Her works quickly passed into oblivion because a suicide did not fit in the literary picture of East German politics and, also, Heiner reclaimed the sole authorship of the collaboration.
The first posthumous publication of her works was carried out by Bernd Jentzsch in 1976 in his first series Poesiealbum, first appeared in 1985, 20 years after her death, a book, which made accessible Inge Müller's literary work of broad public nature, with Richard Pietraß' Wenn ich schon sterben muß.
In her lifetime, Inge Müller published only a little among them the children's books Wölfchen Ungestüm (1955) and Zehn Jungen und ein Fischerdorf (1958), the emancipating and time relevant radio drama Die Weiberbrigade and the collaboration with Wiktor Rosows Auf dem Wege.