What is the way to deal with feelings of remorse and loneliness after converting to Islam and moving away from family?

The phrase "I am a non-Muslim girl" must be corrected, for after embracing Islam, you have become a Muslim, and you have the rights of Muslims and the obligations that are upon them. Allah has blessed you with the guidance to Islam, just as He guided the Prophets and their companions who endured much for their religion and remained steadfast upon it. Do not think that trials are exclusive to men; many believing women have stood firm in the face of the harshest torture, like Sumayyah and the people of the Ditch (Ukhdood). Your new religion does not prevent you from honoring your parents and treating them kindly, but without compromising your faith. If there is a conflict between pleasing your family and your religion, then religion takes precedence, and do not worry about what you miss out on in this world. Sadness and regret are from Satan to weaken your faith, so get rid of them by trusting in Allah, increasing your obedience to Him, remembering Him, and reciting the Quran.