Aaron Hernandez's self-hate for his alleged gay secret is NOT why he turned violent -- so says Marco Rubio.
We got the Florida senator out on Capitol Hill ... and asked what he made of the recent "Aaron Hernandez Uncovered" documentary, since he and Hernandez share the same alma mater (Florida).
Marco told TMZ Sports he hasn't had the chance to watch the whole thing, but with that said -- "I don't think that's relevant to killing somebody."
That "somebody" was Odin Lloyd .