Call several therapists upon the personal recommendations of friends whose kids have used them successfully and/or ask your daughter to give you the names of any therapists she knows other kids have seen and liked. Talk to your health care providers, if you trust their judgment, about their recommendations. Tell her she can interview three therapists and choose which one she wants to see. The deal is she can choose and you will stay out of her relationship with the therapist, unless she wants you to become involved.
She may dig her heels in, see all three, and declare them all fools. You will then tell her to choose which one was the least offensive fool and take her to him. If she threatens not to say anything while in the sessions, say that's OK, it's between you and the therapist, and take her to therapy. Also investigate the possibility of her joining a therapy group, with kids her age, led by a therapist. This sometimes is a choice kids are more comfortable with. If she or you haven't seen the movie Good Will Hunting, see if she'll go watch it with you. Talk about it and what she thought of the relationship between the therapist and the young man who was his client. I'd also suggest reading The Romance of Risk, Why Teenagers Do the Things They Do, by Lynn Ponton and Parenting Your Teenager in the 90s, by David Elkind.
Keep me posted if you have the time.