Will canceling a defaulted credit card after making payment keep my credit score intact?

Along with these things already mentioned by others, canceling the card will lower your credit limit too, which may drop your score.

Is this credit card new or old? If it's an old credit card, it will hurt your credit score since the entire payment history will be lost.

Do you have only this credit card or you have several other cards? As SC said, it's ok to close a newer credit card that you no longer use. There are several factors you need to consider before closing a credit card you know.
But if you still want to close it, send a written notice to to the card issuer. You can call first to cancel your account, but always follow up with a letter confirming your desire to have the credit card closed.

Dear, it will drop your credit score by some points.