A physiatrist is a physical therapy based doctor.
Psychiatrist is what you are talking about? Surely, why not? Unless you can find a psychologist who is trained in play therapy, then a psychiatrist who is will do!
Since she is advanced for her age she may be experiencing frustrations that you wouldn't imagine for her age. Play therapy can get her to express herself now, and also help her learn how to better express herself so she doesn't stay frustrated as she grows older.
I'm sure the MD will keep you abreast of the therapy, and work you into it too.