Hi @Michelle1128 I am not surprised this makes you feel uncomfortable. It is also against Airbnb rules to make third party bookings.
You did the right thing, the guest who is actually staying should create an Airbnb profile and book- so that you are fully covered for their stay and you know exactly who will be staying with you.
I would reach out to Airbnb customer services and explain your situation too, and make sure you're communicating with your guest through the Airbnb platform so your chats are logged and visible to Airbnb.