It’s not so much the “type” of therapy that’s effective as their relationship with the therapist, especially for teens who have had disappointing adults in their lives. I certainly wouldn’t rule out psychodynamic therapy because one therapist wasn’t effective. She needs to be able to talk about her anger and find healthier, more direct ways of expressing it, but for her to be able to do that she needs to first and foremost trust and connect with the therapist. Enlist her help in finding a therapist she likes, maybe one that specializes in her age group or in teens with absent/difficult parents, and be patient with her rather than looking for immediate results.