The daughter took offense and started arguing with mom in front of me as we are all standing in the kitchen. 

Federal offense so find where your nearest fed pen is.

My neighbor, who rents from the duplex next door to mine, has a 10-year old felony but since has no criminal record.

In this situation, we have taken several actions that have vastly improved our tenant quality, including:1) Making sure we have at least 10 great pictures of our unit in the advertisement2) Our advertisements clearly lay out our requirements: One full year at current or previous job, weekly gross income > $xxx , Paying and approving email for a Transunion smartmove criminal, credit, and eviction checks, having no more than one eviction ever which must be disclosed, explained,and paid off.

Also, this is a great time for getting tenants, you might want to ask yourself why you chose these tenants, no offense.

OP stated it's in MN, there is moratorium on evictions, and it was criminalized to violate the order so major fines and jail time for violations.

You don't want any previous evictions or criminal activity.

Consider the most important qualifiers and focus on those.Let them know you will be running a credit/criminal background check on every adult.

It's not at all offensive.

Someone then left a long note about coming back with the cops and bringing charges of home invasion and criminal burglary.