No he wasn’t “out”. Nobody was out. He wasn’t out, he was a flaming mincing simpering queen, which is not the same as being out.
Yes, media of the time had effeminate characters, it had simpering dandies, it had fancy lads, it had sissies and pansies, it had confirmed bachelors, it had suggestive dialog, it had open secrets, it had characters who liked both snails and oysters. What it didn’t have was out gay men.
Yes, some people knew that there were men who had sex with men. And some people would guess that queens like Paul Lynde and Liberace were of that sort. But it wasn’t something you’d talk about. Open secrets ruled the day. Everyone in Washington knew about JFK’s affairs, but it was never, ever, mentioned in the newspapers. It was something whispered and giggled about at cocktail parties, but never in print or where the children might hear.
So to write a crime drama about homosexuals wasn’t done, because it would require talking about homosexuality in public, which wasn’t done. You could have a mincing lisping swish as a character in a drama, and make fun of him, but you could never come out and say that the character liked to have sex with men.