Welcome June smile!
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She does seem to get rattled by speed and I do think that there is some extra step her brain goes through in translating the thoughts onto paper.

We have one dd who has the slower processing speed and accommodations for it in her ALP (accelerated learning plan). I think that the only reason she got it was b/c she was also diagnosed with sensory integration disorder and her scores on the WISC were all in the 90s except for processing speed which was at the 42nd percentile, so lower than your dd's. Even being slower than your dd, my dd hasn't needed the extra time very often and she doesn't get it for tests like the SAT that she took this year through talent search. The real benefit for her has been anxiety reduction knowing that she isn't going to get pressed to work fast.

She, too, works everything out in her head and then puts it down on paper. She had a hard time for some time with noises interrupting her thought processes and having to start back over again in her mind which made the whole process even slower. The interesting thing that I was told from the psych who originally tested her was that she felt that introverts were more likely to have that pattern of methodically working things out in their heads before putting it out there (writing it down, speaking up, etc.). I, on the other hand, lean toward extraversion and tend to work everything out aloud. I talk my way through it and don't figure out where I am going until I get there.