Accepted stay, but client can't pay. What should I do?

So, I made a rookie mistake. Last night, I got a booking request asking if I could watch their dog for a week starting today. The sitter they were going to use cancelled last minute. I was sympathetic to that because, yikes, so I agreed to the booking. I went to pick up the dog this morning, and they still hadn't confirmed the stay. I figured that they probably forgot in the rush, so I reminded them to do so and let them know that their dog wouldn't be covered by Rover if anything were to happen until they confirm the stay. They seemed like they had genuinely forgotten, said they would confirm it, and I, like an idiot, left with the dog to start the stay. You don't need to tell me that was a bad move. I know. And never again. But. They just messaged me through Rover saying that they can't find an option to pay in cash, and they can't pay through card because their wallet was stolen, and they won't have their new card until Tuesday. Obviously, there is no cash option because then Rover can't take their percentage. Where do I go from here? The dog is at my house right now. Even if Rover contacted them to get the money, she wouldn't have a way to pay them. I really don't know what to do. Any advice would be helpful. Is there a way to delay the payment until Tuesday without losing pay for all of the days before then?

UPDATE: I contacted Rover support through email, and I haven't heard back from them yet. I know that I shouldn't accept cash, I have no intention of accepting cash, and I let the owner know as much. I have no desire for my account to be terminated because of this.