Praise be to Allah.
As you mention, it is haram to be alone with a non-mahram woman and it is haram to look at her. If you want to offer her advice, then you can speak to her when she is concealing herself from you, and without being alone with her. You could also give her some useful books and tapes that will help her to learn the rulings of her religion, or write the advice to her, or use other useful means that will not lead to fitnah and will achieve the desired goal.
And Allah is the Source of strength.
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