Should a married woman cover her hair entirely, or is it permissible to have some hair show? Thank you.

In most communities, the accepted opinion is that of R. Moshe Feinstein who allows for a married women to purposely show up to 4 cm of her hair= about 2 fingers-width (either “bangs” in the front, or in the back). In some communities, such as Hungarian Hasidim, the custom is to cover all of the hair, but in the Talmud, this is expressly a voluntary (albeit worthy) custom. So unless all of the women in your community adhere to the stricter opinion, then it’s fine to do as R. Feinstein. With Love of Israel, Rav Ari Shvat