that physician sounds like a hard-line bottom-up clinician (as in the body's condition dictates the mind and simply treating the body will treat/heal the mind. as opposed to a top-down approach, as in the mind can control/affect the body and treating the mind can treat/heal the body). the fact that they didn't even seek out a plan that involved a psychological approach would be a red flag for me, and i would seek out a physician with a more holistic approach to healing (bio-psycho-socio approach). kudos to you for seeking out the psych approach even though that physician didn't recommend it and even subtly dismissed it.
i will admit that i am biased towards the top-down approach, when it comes to mood and anxiety disorders, because i majored and received b.a. degrees in psych and child development, with the intention of going onto graduate school for child/adolescent neuropsych. however, i do recognize the benefit, and sometimes necessary, involvement of chemicals when the level and severity of the mood or anxiety disorder is to such a great degree that it creates a barrier to the effectiveness of CBT.
that's just my opinion, and hopefully everything turns out positively for your daughter.