A time or two, I've been involved in a lopsided relationship, wishing the other person would indeed act a bit more interested in maintaining our friendship. As I reflected on the woman's comments, I came to the following conclusions. You are one of those noble people who make an effort to reach out to others. I appreciate your initiative to be a friend. Not everyone is willing to do that make the first move toward forming a friendship.
Some people are simply too shy and others are too selfish.
The shy fear rejection, and the selfish fear obligation, so sometimes neither makes the effort to bond. The result is that both have a limited number of friends, if any, and miss some of the greatest pleasure in life. God even saw it wasn't good for a person to live a solitary life and made Eve for Adam. So those who reach out to others are helping fulfill a deep human need, and should be commended. She might need to do a bit of self-analysis, starting with the basics.