Self-caring is absolutely essential if your organization is going to succeed. A caring manager knows not only how to care about others but also takes good physical and emotional care of himself or herself, and is able to ask for help from others, as well as being able and willing to give that help when it is needed. Genuine caring isn't something that can be turned on and off or arbitrarily limited. The scope of a manager's caring thus goes beyond employees and self. The special vision of the caring manager is a vision of the good your organization is in the world to accomplish.
All organizations have a purpose.
You need to know and believe, deep in your heart, that the purpose and activity of your organization is in some way contributing to the good of the world. If it isn't -well, that organization shouldn't exist, or at least you shouldn't be in it. You should get out and do something else. Start an organization that will do good if you can't find any other way to do it. But if your organization is doing good, if its purpose is one you can support, then the most effective way you can make that organization grow and succeed is to actively care.