Can I be a good person and still go to hell?

This woman’s house I clean is very religious. We haven’t talked much about religion, maybe twice. She is of the Christian faith and very much believes in it’s teachings. I have no problem with this, at all. That’s her thing. I, personally, have a belief system that’s mostly based around taoism and buddhism. I think if I’m a good person that I will pass that good karma onto the next person. We both respected each other’s views.
One day, we were discussing this and she made a comment that threw me a bit. After telling her that “I just try to be a good person”, she said “You can still be a good person and go to hell”. Not in a mean way. I just believe she was making a point about accepting the savior. That’s how I would get into heaven. I just find it an interesting statement. I’d never heard it before. What’s your view on her statement?