Requirements: What makes a good teacher?

According to Teach for America’s website, this is what they’re looking for in a prospective recruit:

We seek leaders who can describe significant past achievements and who operate with an exceptional level of personal responsibility for outcomes. Because our corps members face such tremendous challenges, we seek applicants who have demonstrated determination and persistence when confronted with obstacles in the past. Lastly, we seek people with the specific skills - from critical thinking to organizational ability - that we have seen characterize our most successful teachers.

Source: http://www.teachforamerica.org/looking.html

This thumbnail description of an ideal applicant is not, in my opinion, a description of an ideal teacher. There are many people who have achieved personal success, are hugely responsible, face adversity with determination, possess excellent critical-thinking and organizational skills, and find that they are unhappy and often ineffective as teachers.

But if the qualities described above are often present in people who would not be satisfied as teachers, why are these the qualities TFA is looking for? And what qualities are useful for a teacher to have?