This blindness is not one in a physical sense but another kind of sight or vision. Haemon is engaged to marry Antigone. Yet Oedipus is stubbornly blind to the truth about himself.
Antigone appears briefly at the end of Oedipus the King, when she says goodbye to her father as Creon prepares to banish Oedipus. Or is everything already decided for them by fate. Every character has a purpose.
The very thing Oedipus tries to run away from, he ends up running right into.
A renowned and powerful warrior, Theseus takes pity on Oedipus and defends him against Creon. Oedipus has good reason to be angry at him.
Yet, when he has the opportunity to grasp power at the end of that play, Creon seems quite eager. Probably the most interesting thing about this interchange is Teiresias' attitude towards the art of prophecy.