How to deal with a problematic person

So I am an architect working for a large firm and for this for a particular client there is an intermediary project management firm. One particular woman within this intermediary firm makes my life miserable. I've resolved that the root of the issue is that she is a problems person, and I am a solutions person. She drives me nuts tho, I am ready to quit if I have to work with her again... What are strategies for dealing with an irreconcilable business relationship?