It depends on the woman. A woman who is close with her family will absolutely be turned off if there isn't a connection - not just with her - but also with her family. She has to know that you will integrate well when family activities are happening.

I have my own hobbies and interests. My point is that men who play video games for 16 hours a day or watch sports during all of their free time are married to their interests and don't have time for a relationship (unless you two share those interests and are okay spending those countless hours together). I can set down my hobbies in order to have time to build a relationship. If he can't, then I don't have time for him.

"That is the issue when dating a single mother."

And single fathers who are actually parenting their children.