Utilize your financial knowledge, give your answer or opinion to the input question or subject . Answer format is not limited.

Tenant wants to pay rent with EFT
It's safe. You give people those numbers every time you write a check.  If a check is forged, and doesn't have your signature on it, the bank has to return the money to you; they get it back from the other bank, who takes whatever action it deems necessary against the forger. They've been doing this for a few hundred years, remember.