But the server is in HER HOUSE. Why is she “asking State” to release them?
She printed out 55,000 pages (of the ones she wanted 'State' to have), and then she gave these hard copies to the Department of State. The last thing she wants out there is electronic copies that can be searched, analyzed, and organized. It is these that she wants 'State' to further review, redact and dispense, all of which takes time to comply with.
I would bet, as well, that her copy machine was "malfunctioning", making electronic scanning of these pages difficult. Even if it were perfect, though, by the time 'State' gets through with further copying, and all the other things it can do, quality of these pages will further deteriorate significantly.