When. plasma ejected by the sun toward Earth threaten an Extinction Level Event, a young imprisoned hacker is tasked by NASA to fix the satellite reflector that her late father created.

I have added the fact that the satellite reflector had been created by her father as that give credence of why NASA would task her instead of relying on their own army of computer super genius geeks.
Also if you employ acronym, make sure sure that everybody is familiar with them. I don’t know about others, but I had to google what CME stood for.

i would second Mike’s comment that the premise is not very visual. So I would change from having to hack a satellite to having to retrieve clues that lead to the satellite reactivation. Maybe her late father foresaw the problem and created a CME freezing array. When the military tried to use it as a weapon, he locked them away and disappeared. The expected twist is that he is still alive, but suffer from Alzheimer’s. Now NASA needs somebody familiar with him to retrieve from his mind clues on how to reactivate the array.