Sounds like she's doing great, Melalvai! First time is always a little nervous. And there really are full-grown family-raising adults that can't even handle traveling and airports and flying, so concern is o.k. You won't have to worry about your daughter becoming one of those adults.

I flew to Texas by myself to visit my cousins when I was 9. Had a connecting flight in Denver where I had another aunt and uncle and they came out and had a donut with me between flights. Everything went o.k., and I felt so "grown up."

Your daughter will have some great memories, and you'll feel so much better as she grows up that she's had a few experiences like this.