Preparation for a particular career comes with the courses you choose to take, not the degree that you earn. For example, students routinely enter medical school having earned a B.A. degree and having taken courses in physics, chemistry, biology and mathematics. Similarly, students frequently earn a B.S. degree having also taken a large number of courses in the social sciences or humanities.
Note that you MUST fulfill both the general requirements of the College of Arts and Sciences, and the specific requirements of the minor in Psychology.