I agree that how you're feeling and wanting to know those things is totally natural, but think of it from your daughter's side.

At that age, I remember wanting to be independent and wanting my mum there when I felt I needed her. It's a pretty selfish and self absorbed age.
If she needs you and wants to chat, she will, but you need to give her a chance to settle in and then actually have things of value to tell you.

In terms of food, if she's hungry, she'll eat. If she doesn't like an entire meal, she may not eat it all, but that won't be the end of the world.

I think this is a great opportunity for her to become resilient and independent, and for you to show her you trust her. I think she'll appreciate that a lot more than checking up all the time. You may not see it as checking up, but she will.

Have said all of that - if my boys went off to boarding school, I'd probably cry for a week and then move in next door 😄 so I think you're doing the best you can in a tough situation.