What does the following quotation reveal about the character? "he's no right to take away my character. my character is the same to me as any lady's.”

What the person is basically saying is that he cannot change the way she is or  change their "character", meaning their personality.

Explanation:

Character means the way you are, so if something is ingrained in you or is already a habit or a part of you then you can't change that.

what was the