At one of the schools I toured I got out one of the advanced worksheets DS had done (which had multiplication and division I think) and the three people I was meeting with just stared at it. They seemed a bit speechless, because they had also been claiming that DS must just know how to compute but not solve (he's in first grade). But this worksheet was not just computations. One of them asked "Does he actually enjoy doing this sort of thing or do you need to push him?" Despite seeing the work, they wouldn't budge and had basically no reasonable plan for him. That's when I knew it would never work.
It sounds like this psych "sort of" gets it (after the bad start), so there is reason to hope. See what she comes back and tells you.