What factors do you take into account when choosing a therapist? What is most important to you? What are red flags that a therapist isn't for you? Is there a big difference between a pastoral T and a non pastoral T?

Just got my insurance card in the mail, think I have it narrowed down to 3. Any extra advice? Also is it silly to nix the ones that have the least amount of information about them on internet (like not having a website)?....and should I give one a chance that's only been in practice for 4 years?