According to Money magazine an athletic trainer's average salary is $42,466:
http://money.cnn.com/magazines/money...pshots/59.html
I can't really tell by your spelling but I assume you mean psychiatrist. Psychiatrists on average make about $160,000 according to salary.com, this is because they have to go to medical school. A psychologist, which does not require medical school, have an average of $73,000.
I think it could be possible for a psychiatrist to work for a professional sports team, especially if they're a large organization, they're called sports psychiatrists. I suppose it could be a subspecialty of psychiatry that concentrates more on giving athletes the mindset they need to play well.
I found a case of this here:
http://query.nytimes.com/gst/fullpag...52C1A966958260