I've only had experience with two different therapists. One felt like a complete waste...I never did set up a second appointment with him.

The second time, somebody who knew me well did the phoning and did an exceptional job of trying to match me with somebody she thought would be good for me. I knew at the very first appointment we could work together, and I usually take a long time to open up...

If you aren't free to be yourself fairly quickly, you probably haven't found the right therapist. At least, that's my experience.