I'd call you local accreditation board to see if you cna get a list of local secular services.

Also, Angie's list has online reviews of doctors.

I have noticed that many therapists do try to insert their religious beliefs into counseling. The best ones don't because they understand how to help people without using a belief in god for a crutch.

It would be unprofessional for them to push any religion. If the do so, report them to their profession body.
Ask which religion, I believe there about 4200 to choose from at the moment. And at least four different one and only true gods!

Read their bios online if they have one. Sometimes that can give you a clue. However, when looking for a mental health professional, sometimes you have to go to several before you find the right fit. If you feel uncomfortable with the provider, then look for someone else. It took me a while to find a therapist I liked.