In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
First of all, let’s welcome you to the fold of Islam amongst your Muslim brothers and sisters. We earnestly thank Allah Almighty that He has guided you to the straight path. Indeed, you have chosen the sound religion that all people should follow, that rightly guides them through their life and leads them to paradise in the Hereafter. Therefore, hold firm to it; learn its rulings, etiquettes and teachings and put them into action and call others to it by means of translating its teachings into practice and by spreading its massage when you become able to.
Actually, we appreciate your concern for your parents; this is an indication of your pure and gentle character. You should know that Islam orders you to remain dutiful to them even if they are non-Muslims. It is reported that Asma’, the daughter of Abu Bakr (may Allah be pleased with them all) had a non-Muslim mother who lived in Makkah, whereas Asma’ had migrated with her father and the rest of the Muslims to Madinah. After the Treaty of Hudaybiya, peace was established and they could visit each other. So, her mother came to Madinah in order to visit her. She wanted some gifts and donations from Asma’. Asma’ was not sure what to do because she knew that her mother hated Islam and was a polytheist. So she came to the Prophet (peace and blessings be upon him) informed him of the situation, and asked him if she could also maintain the ties of kinship and act kindly towards her mother. The Prophet (peace and blessings be upon him) told her to do so saying: “Yes, do an act of kindness to her.” (Reported by Al-B uk hari, Muslim and Abu Dawud)
In his answer to your question, Sheikh A hmad Kutty, a senior lecturer and Islamic scholar at the Islamic Institute of Toronto, Ontario, Canada, who states:
“I can very well understand the difficult situation you are now in. While you are to show respect to your parents as best as you can, you are not allowed to do so in disobedience to Allah. That would be the case if you were to skip fasting in order to please your parents. So find some other ways of concealing your faith from them; turn to Allah to open a way of relief for you and help you face the trial successfully.”
Finally, remember that as Allah Almighty has guided you to the light of Islam He would never forsake you. Supplicate to Allah, ask Him to forgive you and guide you. Ask Him to soften your parents’ hearts to accept you as a Muslim. Also, don’t forget to ask Allah to guide them to the light of Islam.