Given her age and the fact that she's already ahead, I'd chill out with getting her to read to me, and continue reading to her. It's a great way to build her sight word catalog while keeping it fun.
We did this with my own DD who was even more resistant to reading out loud than yours is. She refused to read aloud at all, even though we knew she had the skill (she'd randomly read us signs, names, etc.), until after I benignly shamed her into trying it at about 5.1 ("You're ahead of where I was at your age in all areas but one. I was reading books to my mom when I was four."). Within weeks she was reading to her pre-K class, and it was off to the races from there.
