Actually, that's what both of my kids have for breakfast during the week. My oldest is in kindergarten and does not really like breakfast until he's been awake a couple of hours (not interested in getting him up at 5 am!). My youngest is 2 1/2 and goes to daycare. They do a breakfast snack around 9:00 am, but he gets dropped off at 7:15. I don't want him to be hungry that long.
Another thing you could consider is just waiting her out (if you are a SAHM, that is). I did that as well, though that could be why my 5 year old doesn't like to eat right away.
I also drank this for breakfast when I was pregnant. I was one of the lucky ones with morning sickness for the whole pregnancy, so this was one of the few ways I could "eat" breakfast.
I know it feels like you'd be cheating, but it is 8 oz of milk! I say, do what works and relax. She'll probably grow out of it :-)