May 20, 1944
The Uninvited had already been in release for a month at this time. The Los Angeles Times' clarity-impaired Edwin Schallert wrote on April 14, 1944, "I kept thinking of such a masterwork as Henry James' 'Turn of the Screw' while looking at 'The Uninvited,' which is probably a sort of lurking huge tribute to its mentality." So there. TCM's website has the trailer.