Elementary schooler with school-going obsession??

Hello.
My daughter is a first-grade elementary school student.
I am worried because she is trying to go to school too early.
It takes about 10 minutes at a child's walking pace.
It's not that she goes early to do something specific; she says she just waits until the teacher arrives..
It's not even close to being late, but she keeps staring at the clock, insisting we have to hurry before leaving the house..
Even when I tell her she won't be late, she gets angry and says, "If we're late because of you, are you going to take responsibility?" before heading out.
Will this be resolved if I keep talking to her about it??