The original title was Tom Boy: Revenger’s Tale and then changed to The Assignment.
It was changed for commercial reasons beyond Hill's control, but he notes that Tomboy is not considered politically correct, e. g. in America.
Walter Hill shed some light on it in a 2017 interview with Ryan T. Cusick for iHorror.com:
RTC: I read that the name of ...
Digital movies are currently transported to the cinemas on a Hard Drive Disks, a movie takes somewhere around 500 GB of storage space. This disks are locked with special securities and cannot be played outside of given time windows.