Then I guess you don't understand the definition of intent.
Intent implies a purposeful act.
Lack of intent, to me, implies action done without purpose.
There are rules and a chain of command for handling the sort of material in question. Including using a governmental email structure. She was aware of this, as she put in requests to operate outside of prescribed procedures. When she was denied that clearance for security concerns, she did it anyway.
That is intent to mishandle classified information.
Or do you want to talk about what the definition of "is" is?