If we consider the example of Christ, even he seemed to limit his relational depth, and He is divine. While he intentionally took time to be with all people, he reserved special time for His disciples, and further reserved even more special time and relational depth for a select few disciples.
So how do we approach ministry today? The launch of fall programming is just around the corner. Now is the time many of us are called to reach out to those less connected. I would argue that we need a balanced approach. I have watched fellow servants of the Gospel make themselves literally ill trying to reach all people. I cannot recommend that. Yet can we justify not reaching out to everyone? I cannot recommend that either.
A balanced approach understands that you will naturally develop deeper relationships with certain people. Key youth and volunteers, even staff members will become a special part of our lives. Not everyone can or even wants to. However we must make sure to be wholly present for everyone we encounter and find time to be present in this manner for all we are called to serve.
Fall is a great time to reach out and connect with folks we don't see all that often. They may not become a deep part of our lives, but perhaps in the process you will better connect them to others in your community of faith who will. That is the beautiful part of the Body of Christ.