I don't think the New York Daily News will print a correction on this, but perhaps it's worth trying to get them to fix the record.
Good Luck :)
Actually, if you read carefully there is nothing to correct. They never actually say that Kato was killed due to so called homophobia. They just imply it. Oldest journalistic trick in the book (except, perhaps, getting an “expert” to express the opinions that the journalist wants to express but can’t...because he’s impartial, don’t ya know?)