Working with a designer should be a fun and engaging experience. All design is a process of research, sketching, designing, refining and redesigning sometimes, until you reach a suitable product. Graphic design like logos and websites are a product of a relationship - you can definitely tell when its good. 

I have gotten to work with all types of clients in my career so far, some more experienced with the process of design than others. Design is definitely a process, and there are steps and measures that can help everyone get the job done.