I had a pretty visceral reaction to the psych's advice. Let's just say I quite disagree not just with the specifics, but also with the attitudes and assumptions underlying it. So apologies while I go on a bit of a soapbox here

Kids with LDs - and even more so, 2E kids - tend to be identifiable by their anxiety many years before they are identifiable for failing to meet grade-level standards. And a major cause of that anxiety is constantly being told to "try harder", when they are already trying so many times harder than anyone else in the class just to keep their head above the water.
No amount of trying can ever substitute for appropriate remediation and accommodations. A child with LDs is usually not developing automaticity in specific areas, which means all their brain power is required just to do the basics, and none is available for the more complex stuff. The kid with LD is still trying to figure out how to read each individual word, but their classmates can do it increasingly automatically, and so they can start thinking more and more about what the whole sentence says, what the paragraph means, how it connects to the rest of the text, to other texts, to the child and to the larger world. The child with LD is using all their brain power to try to remember "Does the circle on the b go to the left or the right? (and darn it, which is my left, again?) Now, does that line on the p go up or down? So now that I've written the s, what letter comes next?" But their classmates, again, are doing this with increasing automaticity, and over time they stop thinking about how to form the letters and what letters go into the words and in what order, and instead their brain is free to think more about what words they want to use, what sentences they will construct, what ideas they will convey.
Around grade 3-4, school tasks tend to rapidly escalate in complexity, based on the assumption that children have automated the basic mechanics and now have free brain power available to move on. The anxiety of kids with LDs comes from the clash of them trying to take on all those increasingly complex tasks - but still needing all their time and thought and energy just to perform the basics
at the same time. And then instead of getting the needed LD supports, just being told every day you're just not trying hard enough.
Sorry - really long-winded way of saying I really object to the "try harder" assumption. It's like having your optometrist say "She needs glasses, but we don't want to give up on her eyes, so I think you should withhold the glasses and just make her try harder until she figures out how to see properly -
then she can have the glasses."
Just no. As the ever-wise aeh suggests, for goodness sake give her the glasses and let her see her world. And by all means take them off for ten minutes a day to do special eye-strengthening exercises - IFF you know exactly what is wrong with her eyes and have evidence that such exercise will help that particular problem. It is worth noting that actual dysgraphia is a cognitive deficit (rather than a fine motor one), and I have not seen much evidence, nor people's experience, that suggests it is particularly amenable to fixing over the long term (a ton of intense practice can get short-term improvements, but often not enough increase in automaticity to last much beyond the intense training period).
I would also be cautious about assumptions about "perfectionism". Gifted and perfectionism are linked to the point of cliche, and it's common to assume that resistance = perfection. It's also often wrong. With 2E kids, resistance often occurs when the child is being asked to do something they simply
can't, as opposed to the assumed 'can't do perfectly'. Give them the skills, the remediation and the accommodations they need, stop asking them to do stuff they can't, and it's amazing how the "not trying hard enough" and the resistance and the fear and the misery go away.
Finally, I've learned that 2E kids can have incredible powers of compensation. They look like like their doing fine, they're holding their heads above the water - but we can't see just how insanely hard they are struggling underneath to stay there, and when they get overwhelmed, it can often seem like it happened very suddenly, even though it's been building for years.
Anxiety indeed.
Your gut is telling you the psych's advice is not right for your daughter. Trust yourself, and trust your understanding of your own child. It's good to seek expert advice, but it's also important to know that few specialists out there have much experience with 2E - while you are an expert in this child. And for what it's worth, there is pretty clear consensus in the 2E research lit that these children should be intellectually challenged to the maximum of their gifted needs, while supported and accommodated as much as needed on the LD side to enable them to do keep up. In other words, you got this. You are doing this totally right. Type for her, record her, teach her to keyboard and use word recognition and voice-to-text and anything else that helps her get her words out. You have a child who is lucky enough to have been born with language wings. Don't let anyone convince you that you should stake her to the ground. Let her fly.
OK, definitely getting carried away on my soapbox - apologies! But two such major buttons for me - trusting yourself as a parent, and believing that your child is trying so, SO hard already, and what she needs is proper LD support, not to be told that working ten times harder than everyone else still isn't good enough.