It may sound shocking, but some people will do this. Source: me, landlord since 2001.
I use a credit card much more often these days, because the CC company takes fraud seriously. The banks don't. At least my bank did not.
On behalf of the cardholder they do. When a cardholder complains the card company just reverses the payment to the merchant in a 'chargeback', sometimes months later. Then the merchant has to appeal to get it back. So no the credit card companies don't care about fraud.
I would ask for cash...
Bank: "Why?"
Tenant: "Well my landlord [tale of woe]."
Bank: "So I'm hearing that the payment was unauthorized."
Tenant: "Yes!"
Bank: "Reversed."
Landlord: "... YOU DID WHAT?!"
Bank: "sigh We don't want to be in this discussion."
Landlord: "YOU HAD ONE JOB!"
Bank: "It's not sitting between two adults trying to figure which of them screwed the other. We've got courts for that. Good luck."