Sometimes it can be the thing that makes you uncomfortable that really proves to be beneficial to you in the end. Not always, but sometimes, and it is entirely possible that this therapist/client relationship is not going to work out.
To give you an example, the therapist/mentor that was assigned to me by my university really scared me at first. I found her a bit intense - I had never encountered someone like her before. I felt she was too straight-foward. My best friend thought that I should ask for someone else, but my gut feeling told me to stick it out, and I'm so glad I did because this woman has helped me so much. I absolutely adore her, she is brilliant.
So like Petra says, it's usually a good idea to trust your instincts with something like this. Don't worry about upsetting the therapist, I'm sure they have had similar things happen to them before; their approach isn't going to work for everyone.

Good luck!