The author of this letter is asking for additional financial support from the school that has accepted her. Her visa was denied twice. She has a Scholarship from the school, which only covers half of her total expense.
Dear Professor Higner:

Thank you for your email and kind offer! Definitely, I would like to try to apply for a visa for the Winter quarter. I understand that both you and Professor Black have tried very hard to help me with my situation and I appreciate your efforts.

As it is true that nobody really knows why the visa officers refuse certain applicants and allow others, I have been told by several successful visa re-applicants that re-applying with a new I-20 with a slightly different offer from the US schools would help. For example, a slight increase in financial aid and so on. I don''t know whether this is something possible for you to consider for my situation. But I would really appreciate if you could consider some possibilities. I know that I have given you enough trouble and please ignore my request if it is too difficult for you to do. I will simply try my best to get my visa and come to your school.

Thanks!

Sincerely yours,

Mei Yang