I work three nights a week and am usually home around 5 past 7 in the morning and DP leaves for work around quarter past 7 so there is usually always someone home. My workplace is relocating to slightly further out and I now won't be home until around ten minutes after DP leaves for work. I have a 13 year old DD and a 6 year old DS. It's fine to leave DD in charge, home alone for such a small amount of time isn't it? She has a phone and we're friends with our next door neighbours if she needed help.
I'm sure I'm just overthinking it, i used to babysit other children in their homes when I was 13 but I always second guess myself. No chance of either of us being able to change our start/finish times unfortunately