Room Deposit Turns Into 2 Week Room Stay.
She probably has been at this motel / hotel before and knows how it operates. Probably not her first time doing this. The motel / hotel probably knows what she's doing. She makes money turning tricks. And the motel / hotel makes money off your credit card. A husband is going to have a rough time explaining this to the wife.
She Wants The Room After You Leave.
At check out close out your name and credit card from the room. If she wants the room to do more tricks let her register and pay for the room under her name and pay for the room with the money you paid her to play.
I wonder if the guys that let the girl keep the room in their name sweet talked and promised a discount or freebie on the next play time. I doubt the guys did this to be a nice. There had to be some incentive for the guys to do this.