"I remember the answer from the director" should also be accepted.

My understanding was that "ricordere", when used outside of the infinitive or imperative, is always reflexive. So why isn't the Italian phrase, "Mi ricordo la risposta del direttore."?

Is there a difference between a "reply" and a "response"?

Not much.

I answered "I remember the answer from the director" Why it was not accepted ? It means the same as "director's answer" And why is our English writing corrected some times ? We are learning Italian not English. Italian should be corrected.