Right time - Right therapist
When you feel you're in the right mind to begin to do something about your situation, it is important that you also find a therapist you feel comfortable with.
All good therapists will do their best to ensure you are comfortable, they will be empathic and will not judge you and they will work in an ethical way. However, we're only human, and we get on with people in very different ways. If the therapist you've just begun working with makes you feel uncomfortable, and it may not be their fault, perhaps they remind you too much of an ex, so much so, that you cannot get past it. There is no point using your time, money and energy discussing this 'transference' in hope you will soon get to the issues you really want to explore, or worse, you hide the fact that anything is wrong in the first place, so creating difficulty in the therapeutic relationship. Unless you really want to stay and explore all of that before you dive into your stuff, move on to a different therapist.
Finding the right therapist is no different than finding a good GP or a good hair-dresser. You want for them to be able to understand you, and what you want, and you want to feel as comfortable as possible.
Be aware that an expensive therapist is no guide to a successful outcome. The relationship you build with your therapist is going to have an impact more than any other factor.
If it's not your time yet, you dip in for a couple of appointments and then leave, that's okay. Sometimes we are just not ready! It may be that we are 'doing it' for wrong reasons, or to please someone else. It may take a few attempts over time before you can honestly say you are ready to dive in.