I lived in Dilworth for 40 years. It has come a long way. Have you seen the neighborhood now? The homes are quite expensive and the quality of life is good, in my estimation. There can be a risk of break-ins and i would consider an alarm system if I were in your situation, more for peace of mind than any other reason. If nothing else you will know when your child(ren) come and go when you are not at home, if it has the online record system as many modern systems do.
I was never concerned with Dilworth once it reached the critical level of affluence some years ago. My wife was not concerned to be in the house without an alarm and alone. She parked on the street and was careful to never leave the car unlocked or valuables visible. Hint. These are common sense actions.
There is an active neighborhood association (casual, not a homeowners association):
https://www.dilworthonline.org/
If you can drive around the neighborhood and use your eyes and ears that would help. Stop to talk to neighbors you see outside. I think your daughter would be fine in the situation you mention and if she were caring for my child I would walk her home or drive her, but that is me.
I know well people who have made the change from suburbia, where one must coil the hose in the yard or there were demerits and neighbors had the license plate that displayed the name of their development (her exact comments). After the trepidation they learned to love southern living. Please join us. I applaud your willingness to see your new life in a new way.