I don’t think this is 100% cannon but a lot of blind people are extremely sensitive to light. She may keep them closed for that reason. But also perhaps the author simply likes the mysteriousness of us readers never seeing her eyes.
She did mention in one of the chapters after she woke up from a dream that she felt she had left the lights on (because of the warmth in the dream, I think?), and he said something like "so you could tell?" Don't know if that translates to light sensitivity though.
I understand that she’s blind but why does she keep her eyes shut?