for we are members of his body.In the context, here is the explanation as to why Christ feeds and cares for the church.
There are several different applications that we could pull from this teaching. Applications regarding our roles as members of this Church-body. But the main idea in this particular passage is not our roles, but His role. And specifically in this passage, Christ's role as the head includes feeding and caring.
As members of the body of Christ, we do not need to worry about anything. We will be provided for, just as Christ sees fit.