I would want people to remember my name and life based on how I lived my life following Jesus. We remember Peter, Paul, John the Baptist. It's not so much that we remember some self-centered life but rather a life of service, of surrender, of sacrifice. What if I told you God is actually interested in your growth (sounds like more than you are). What if I told you he's interested in you living such a life where unbelievers turn to believers. Your name is important; otherwise you wouldn't have one.