Typically any file that starts with a ~ is a temp file automatically created...usually as part of the auto save process. I'm sure they are invisible so they don't bother users, and users don't bother them.
Very common for Adobe and others.
You can delete it, but if the originating file (File Name) is there and in use, another one will be generated. Might as well leave it be, unless the original file is long gone.