Inexperienced landlord here - did I do the right thing?

[Account Closed]

So I set my unit up on affordablehousing.com (section 8) and got a call from a market renter. She makes 24/hour (not sure if she works full or part time, didn’t ask) and has 2 kids. Showed her the building and she seemed really nice (although she said it was a bit much that I asked for first & last months rent upfront (no security deposit) she also nit picked slightly about the apartment being dusty (no ones living there currently) but I assured her that I’d be hiring a cleaning company to clean it before she moves in. 

The rent I’m charging for this 3 bedroom is 1650 including parking 1 spot in the garage. Electric & gas NOT included. 

I did the math, and although she is a teacher for CPS making 24/hr, after taxes she wouldn’t be left with much especially having 2 kids… I simply asked her if she was okay to afford it & that I’m looking for a nice family to live there. I asked her if she had someone else that was going to live there to help her with rent & payments. And she went off & proceeded to call me racist and said I had no right to question her. What do you think? Am I being too picky? I just didn’t think $1650 with 2 kids and paying utilities separately that 24/hr would cut it. It’s cutting it rather close.