Health,
If a beis din decides that a conversion is good, it’s good, end of story. Perhaps she wasn’t married yet when she converted, and hadn’t thought about covering her hair?
There are many places where it’s brought down that once a geirus is completed, we don’t invalidate it, even if we see the person sinning the next day.
Now here’s a question for you. A person is converting. They keep kosher, Shabbos, taharas hamishpacha, everything. The guy will learn 14 hours per day. He also happens to be a Zionist, who supports the Israeli government. Would you say the geirus is good?