All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
There is no doubt that acquiring religious knowledge is one of the greatest acts of worship by which one gets closer to Allaah. It is for this reason that a Muslim, who is jealous about his religion and wants to spread the Religion of Allaah among the people, should be keen to seek such religious knowledge. On the other hand, achieving the wish of the mother and pleasing her, in what is permissible, is one of best acts because the mother has a great status.
We think that it is possible to achieve both benefits, especially at the present time whereby the means of education are widespread, like the internet and other means. Therefore, we advise you to spend your free time and holidays in memorizing the Quran, learning religious knowledge and spreading it among the Muslims, and at the same time, you may achieve your mother's wish in studying medicine.
How good it is for a Muslim to be a doctor and at the same time a person who calls people to Allaah. Indeed, such a profession may help him in presenting Islam to other people in a perfect manner.