It seems to be a discussion board internet meme. I am not sure of the actual history, but my impression is that it started as "Did you read the fucking article?" which is sometimes rebutted with "Yes, I read the fucking article." and then "read the fucking article" became RTFA and now some people use TFA to mean The Fucking Article. (Or maybe people more polite than me always used RTFA rather than writing it out. I have quite the terrible potty mouth. shrug)

Well, it's the first result on urban dictionary: http://www.urbandictionary.com/define.php?term=TFA

The Fucking Article

I read it as The Feature Article, which looks dumber written out than it did in my head. You know, like Feature Presentation.

The Featured Article. (There are echoes of another F-word in there, mostly from the older abbreviation RTFM, but they are rather faint.)

The Fine Article

"The F…ine Article"