This is something that I and other single fathers plus stay at home dads struggle with daily. My daughter has a group of friends she regularly plays with when I am not over-scheduling her

. Most of her friend's parents have no issue with them coming over to play at my house, but there are only a few that have said yes when my daughter has asked them for a sleep over.
Most of the time some will ask if my daughter can sleep over there but it is not something you can ask. Nothing is ever said but it is implied they are not comfortable as I am a single father. I get it, I understand the statistics, and I don't bother to point out that women statistically are more likely to physically abuse their kids.
I know there are some who just "will not take that chance", but I am fortunate having gotten to know many of the parents that my daughter gets to have friends over on her "turf" if that makes sense.
What do you would you allow in this situation? Is it different if the single dad was raising a son, would your son be allowed to sleepover with his friend if a dad was the only parent in the house? I have no frame of reference since I am twisted around the finger of a girl and gave up my man card years ago when I sat through a Miley Cirus 3D movie!