My current T and my old T are both PhDs. They both, however, have very different training backgrounds. My current T came from a psychodynamic background and now uses DBT but with a psychodynamic "flair." I've only had three sessions with her but I have a feeling her approach will work for me. My old T came from a cognitive-behavioral background but had changed gears to acceptance- and mindfulness-based stuff, which we did a lot of, and which helped me a lot.
Whether your T is going to work well for you, depends on a lot of things, but mostly - what do you need? Some people need skills fast so they can cope with daily life. Some people need a deep connection so they can feel safe enough to disclose some awful secrets that have plagued them. Some people need someone who will just be a support while they are going through a rough patch. If you can try to identify what you need, then getting it in T will be much easier.
Easier said than done, I know.