@Kristen521
No, I don't think so.
- Firstly, you have to be over 18 to book an airbnb.
- Secondly, the person staying has to be the one who books. Third party bookings are not technically allowed on Airbnb. Certainly, your daughter would not be covered by Airbnb in this circumstance should anything go wrong.
I would suggest, for a 16-year-old, a situation where she is sharing accommodation and there is a responsible adult in charge and watching over the minors would be more appropriate.
Believe me, when I was 16, I was fiercely independent and thought I was oh so grown up, but really, are you sure that it's a good idea to let her stay alone unsupervised in a new location?