Share your insights or perspective on the financial matter presented in the input.

Tenant wants to pay rent with EFT
The mode of payment mentioned by your bank is called the ACH(Automatic Clearing House) which means that anyone(Trusted payment gateway owners like banks themselves) can process payments. There can be a fraud declared against any payment that you have made and you can get every single penny back. This amount can not be withdrawn in cash at all. However for your situation I would suggest that you ask your bank to block any transactions above the amount of a specific sum, this way they will require your authorization to finalize the payment. You should feel safe after this. Also no one can access any other account apart from the one whose details you are giving out so do not worry about this guy(or anyone else for that matter) to be able to access your other accounts.  Hope this helps. (I have experience in payment gateways so I do understand these procedures.) Cheers!!