There’s mixed information in the internet of the movie’s release, IMDB stating 1983 and Wikipedia insisting on December 1984 release. Either way the theatrical release has been extremely limited and the movie is not the kind of popular movie to make it big on VHS, so it was more or less forgotten upon its release.
But make no mistake, Bless Their Little Hearts is a gem of an indie movie.
Following the life of an unemployed African-American father of three struggling to find work and make the ends meet, the real star of the movie is Kaycee Moore whose portrayal of his wife frustrated by having to provide to her family and her husband while trying to keep the family somehow functional. Watch her as she is having a 10-minute long, quite verbal argument with her husband and tell me she does not deserve an Oscar for her role play.