This Hadith offers four points. First, it mentions a twenty-four hour journey. `Ulama', therefore, say that the time limit matters little and the real point is the length of distance to be called journey. A woman is not allowed to travel unless she is accompanied by her husband or a Mahram.
Second, Hajj is obligatory on her provided she has no financial problem. If a woman has no husband or Mahram, Hajj is not obligatory on her. Neither can she go for Hajj with a group of women, whether for Hajj or any other purpose.
Third, the term Mahram, apart from husband, applies to all of her male siblingss whom she cannot marry; these include the father, the son, the brother, the nephew, the son-in-law and the foster-father. She cannot travel with anybody but with any of these.
Fourth, when she goes out, she should wear a Jilbab (an outer gown) dress so that no part of her body should be visible. Moreover, perfume must not be used by her, wearing perfume in public by women is tantamount to fornication, nor should the jingling of her ornaments be audible to others.