We have a local university health system. Primary care doctors will often take over prescribing psych meds in this region. However, they do not always understand the nuances of various mental health conditions, nor the nuances of various meds. There are some outstanding exceptions though and they know when an additional psych consult is needed.
Ideally, we'd be treated by very competent practitioners in every field. I know in this region, we have a very alarming shortage of pdocs.
To the OP of this thread, I am very impressed you have had hormone testing!
It's too often overlooked.
Do whatever works for you!

WC