Hello,
Yeast infections are in no way genetic. They are a fungus that is carried in woman as a microflora (a space-occupying bacteria that helps keep out bad bacteria). However, like I said, yeast is a fungus, not a bacteria, and is very large in comparision. To make a long story short, yes, the well developed yeast infection can be causing the tearing, because it has thinnen the skin. Even with out symtoms, your yeast infection needs to be treated, and probably from a prescription from your doc and not the over the counter stuff.
Hope this helps.
My gyn nurse told me why I tear is because of dryness although I use plenty of lube. She said to use a moisturizer down there a couple times a day. It hasn't helped but I do not have problems with yeast. Hope this helped.