There is nothing wrong with you giving some Islamic tapes that are beneficial and free of anything that is forbidden according to sharee’ah to this non-mahram woman. But you have to try to give the tapes to her via some of your female mahrams. That will be safer for your religious commitment and further removed from areas of doubt, suspicion and temptation.
And Allaah is the Source of strength.
Al-Lajnah al-Daa’imah, 14/71
It is not permissible for her to appear in front of you without full hijab, and it is not permissible for her to be alone with you.