The Muslim Scholarship Fund in the U.S. provides funding for both undergrad and graduate students. A few specifically Muslim organizations to consider are the Al-Ameen Scholarship and the Fadel Education Annual Awards Program. The first seeks one male and one female candidate per calendar year and may offer upwards of $3000 dollars. The Fadel organization offers money extending from $400 to $2000 dollars and incorporates many more students (maximum 45). Fadel scholarships can be sought by both graduate and undergraduate students.
These grants and scholarships mostly consider students studying within the United States. If you are willing to travel abroad for study, or reside outside the U.S., there are other grant sources to be found. India, in particular, has a host of grants and scholarships for Muslim minorities, and especially women. The United Kingdom also has some beneficial sources.
http://www.milligazette.com/misl/scholarship_muslim_students_organisations.htm
One of the principal foundations aiding minority women in education is the American Association of University Women. There are also others which focus on women in other predicaments. Jeanette Rankin Foundation, Raise the Nation, and the Women's Independence Scholarship Program address a range of applicants from single mothers, those aged 35 and up and those facing domestic or economic hardship.
Start by looking for women's grants, minority grants, or a combination of the two. It is much much harder to find ones specific to Muslim women in the U.S. Search based on specific schools. Barnard College and Wellesly College offer considerable money to diverse incoming students. They plan this funding as a normal part of their yearly spending.
Muslim women could find eligibility as a minority, especially if they seek to enter fields seen as underrepresented. This is particularly the case with regard to math, sciences and nursing, but is not limited to these subjects. Research "Women in Engineering and Computer and Information Science Awards," "Barry Goldwater Scholarship Grants" and the "Ford Foundations Pre-Doctoral Fellowship for Minorities."
Unfortunately, a targeted search for Muslim women grant money will yield limited results. While still considered a minority within the United States, Muslims, and thus Muslim women, do not constitute a traditional minority category. These include African-Americans, Hispanic or Latino, Native American and Asian. These groups have a slightly higher access to grant resources in academics. So most of the money at the college and university level is going to be in the form of scholarships or scholarship grants. In this case, there are considerably more options.