From episode 8 of season 4 of The Blacklist -- Dr. Adrian Shaw: Conclusion -- we've supposedly learned that Raymond Reddington is, by his own admission, Elizabeth Keen's father.
As much as we'd all like to believe this, I think there are some crucial points being overlooked that should tell us otherwise.
First and foremost though, the issue of DNA tests should be addressed. Many people are stating that a simple DNA test would (dis)prove the relationship between Liz and Red. Unfortunately, this is false as DNA tests are irrelevant. Please hear me out before you say I'm crazy.