In my experience, finding a good therapist depends on establishing a good rapport in a short period of time. To help the odds, I find looking at therapists' profiles[0] for what one finds important helps.
LGBTQ+? Religious? Strongly religious? Polyamorous? An athlete? Willing/unwilling to take medications? Drug use? Etc.
Anything you do not want to be a part of your therapy is something to check profiles for.
If you are a part of a group, talk to local members of that group on-line or in person. They likely will have inside information on what therapists are considered friendly.
I'd also read up on the different types/styles of therapists/therapy. You may find you're fine with any of them. You may find some of them horrifying. This info is likely to be on their profile.
Edited to add:
Go in with an idea of what you want out of therapy. If you're not sure, you can talk to the therapist about what's possible. Do you want coping strategies / a change in behavior / someone to talk to / someone to help determine why you're depressed / etc?
If it isn't working with a therapist, you can pick a different one. It may be worth talking to the current one about what's not working for you, but you always have the right to see someone else.
[0] Searching the web for the therapist's name and location is a good place to start. If you have insurance, insurance profiles may also provide information.