My bp's eat in shed, out of shed, going into shed, the day they shed; I don't really think their cycle matters. It may for some. Maybe she just wasn't hungry when you offered her the mouse.
A little blood with a shed is normal, I don't really know why, though. Maybe because when their ventral scales shed off, they have to pull kind of hard. I just kind of thought of that, I really have no clue. I do know it's normal, though.