^That might be so. However, Q is not looking for help, he is sending Wesley for help. So it isn't like Q would have to work with her. The point still stands that it seems like Q helps and hurts Picard whereas Janeway helps and hurts Q. Of course, perhaps Q actually would like to see the galaxy destroyed along with the people responsible for the death of his son so he really would like Wesley to fail.
I think we can see from Q&A that Q has a special relationship with Picard and does not want to see him fail.
Isn't that also the book where Q seemed to think Janeway was only good for distracting the Borg (or at least my interpretation of what he was saying)
Another thing to take from Q&A was the Q left saving the universe to Picard not Janeway, so that flat out tells you who he would see as more capable of saving the day.