Why was Cordelia disowned?

Answer 1

King Lear invited his daughters (in the very first scene of the play) to tell him how much they loved him. His elder daughters obligingly flatter him, but Cordelia, the youngest, cannot bring herself to give him the dishonest, flattering answer he wants to hear. Instead, she gives a straight and honest answer. Lear becomes angry that she will not co-operate in his little game of wallowing in insincere praise, so he banishes her. It is a petty, shallow and foolish act.

Cordelia is not actually banished. Her punishment is that he doesn't give her the rightful dowry which is the third of the kingdom. She leaves on her own accord. Lear tells her to get out of his sight, which plays into the theme of vision and blindness.

She leaves under her own accord with the King of France.

Answer 2

Well what do expect from a goofball!