I never got any flak in my mostly Southern Baptist family for D&D. The closest was a relative that thought C. S. Lewis was a little free with his imagery in Narnia, but her reaction was to engage me in discussion. I got a little flack at school, but that quickly blew over. We even used avowedly roleplaying techniques in Bible study.
The first and only time I got flak was after a guest minister at an avowdly mainstream (Prebysterian, I think) church got all wacky. One of my friends who attended came away confused. It quickly became obvious talking to her that this guy needed a scapegoat that would not offend the congregation, because that would affect the collection. A real fundamentalist, serious minister in that church would have talked about divorce or spending time with your children or something like that. Not roleplaying games. Not far away political issues. About things possibly pertinent in daily life to the people sitting in the audience.
This is how you can tell when you hear nonsense about D&D supposedly from a religious perspective. (There are some serious objections to fantasy from some religious perspectives, but they will be more comprehensive and intelligble than D&D scapegoating. Those are way outside the scope of this forum.)
The only flak I ever got from my parents on this issue was that they think my wife and I are a bit over-protective of our kids when it comes to film. They still don't understand why the youngest didn't get to see the 4th Harry Potter until she was almost 11.