Just out of curiosity, can you tell us exactly what you put in your first letter to the school to have her tested? If you put it in writing and they didn't test her, they broke FEDERAL law? Unless......
I didn't realize a school psychologist is a "professional licensed in Occupational Therapy". Hmmmm. Get a thorough Occupational Therapist (OT) evaluation from someone OTHER than the school. I would have a speech evaluation from someone OTHER than the school. I would also have a FULL evaluation done by a neuropsychologist soon. You have a SD from H***. I have spent a long time (years) dealing with a similar SD. Load up on OUTSIDE evaluations to back up YOUR side.
When you put the request in writing to the school, ask for difficult child to "be evaluated for Special Education services. This should include but not be limited to academic, psychological, behavioral, Occupational Therapist (OT), and Speech Language Pathologist (SLP) evaluations." Keep a copy for yourself with the date you MAILED it. Send copies to the school principal and Special Education Coordinator. Send them both Registered Mail with Return Receipt Requested!! This starts a federal timeclock to DO all the testing or put IN WRITING why they CAN'T (not why they don't want to). If their denial isn't in writing, it is against the law. If they don't "think there's a need", you have the right to appeal their decision and your appeal rights and processes should be in writing WITH the letter you recieve.
Get an advocate NOW. You are being DENIED services because one person says it's not needed and that person isn't even qualified to make that decision! Grrrrrr