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. We ask Allaah to exalt his mention as well as that of his family and all his companions.
First of all, we thank you for your zeal about your religion and your feeling of responsibility, and we ask Allaah to enable you to do more good deeds.
As regards your feeling of being neglectful by reading the subjects of your study and not reciting the Quran and reading religious subjects, then there is no doubt that the best way for a Muslim to spend his time and his age is in reading the Quran. However, one should know that studying the different permissible sciences of this world benefits the Muslims. It is for this reason that the scholars said that these sciences are a communal obligation [i.e. if done by one or few members of the community, then the obligation drops from the rest of them for having to do it]. If the Muslims do not study these worldly sciences, they would be dependant on other nations. Studying such worldly sciences is not contrary to the religion or seeking knowledge of Islamic jurisprudence. If a Muslim intends by studying these worldly sciences to benefit the Muslim nation and serve the religion and fill a need, he will be rewarded for doing so in the same way he will be rewarded for studying religious sciences, Inshaa' Allaah. The ruling about reading beneficial books written by non-Muslims is the same, as there is no religious harm in benefiting from them [books].
However, studying such worldly sciences does not mean that a Muslim is permitted to abandon studying the matters that he must know about his religion. Rather, it is an obligation on him to learn the correct creed and acquire the knowledge by which he will be able to protect himself from wrong beliefs. He should learn the obligations that he should fulfil in relation to prayer, fasting, Zakat, Hajj and other matters that a Muslim is obliged to learn, and one should not perform any work unless one knows the religious ruling about it.
Islam is a religion that calls to moderation, so you should not abandon worldly sciences to be busy in religion only nor abandon religion in order to be preoccupied in worldly sciences only and consider this world as your prime goal.
To conclude, we do not advise you to abandon what you are studying at the moment. First you should fear Allaah, Secondly, if you can pursue the same studies in your country, then we advise you to leave the non-Muslim country and return to your country and continue your studies there among your family and your Muslim brothers. Indeed, there is much harm on one's religion and moral conduct in residing among non-Muslims. May Allaah enable you to do what is good and rectify and facilitate your affairs.
Allaah knows best.