Her pride is best characterized in those lines, the "Didn´t come to this world to be no slave" is a direct exemplification of her pride and her capability to see the great scheme of things and how she should do with her life what she felt she needed to do, and "didn´t stay one either" part shows the pride of her to stand up and face the situation she was in and change it. She knew her value and what she was worth and was sure of that.
The president is the "boss" for millions of government workers in the Executive Branch. He or she decides how the laws of the United States are to be enforced and chooses officials and advisors to help run the Executive Branch.