About trying to reach out to the stubborn lost person...

Some people are too blind to see the truth that's staring them in the face. If you've done all that you can do and that person is still too hard-hearted to feel it and too blind to see it, then back off for now. All you can do after that is continue to pray for them. Pray for them to be open and to have a willingness to believe, and for God to turn their heart of stone into a heart of flesh. It is not your job to save people, only to tell people. But, if you've done that and they won't accept it, that's not your problem. Your hands are clean.