There are a number of different religions where hair coverings are required by women. With the case of Jewish women, there are some interesting caveats. The reasoning is not strictly for modesty, which is the reasoning given in some religions. The fact only married women need to cover their hair may seem a little odd to you as well. These differences give Jewish women a few different options to stick to the rules.
You are probably wondering what the reasoning is behind hair covering if it isn’t for modesty. Many people in the religion have taken time to explore the readings, in-depth. The general conclusion is that the desired result of hair covering is privacy, not modesty. They believe that your natural hair should be for your husband only. That is why it isn’t required of women who are not married yet. It also lets Jewish women cover their hair with a wig, giving a nice look for every day. Their true hair is still only seen by their husband, with either method of covering.
There are different options for how a Jewish woman can cover her hair. If you want, wraps and hats are an option. It can be a little bit outside the norm if you are in a region that does not have a large Orthodox Jewish population. Coverings might also not fit your style, or be seen as too traditional; for those women there is the option to wear a wig. Jewish wigs are required to be Kosher. This means it meets certain religious criteria in the materials used, and the method that it is made. Traditional coverings and wigs both keep your own, natural hair out of the public eye; keeping it just for your husband. This is the outcome that is required by Jewish law.