Is it permissible for me to learn Aqeedah (Islamic Creed), Tawheed (Monotheism), and the English language to invite Jews, Christians, and others to Islam, and to demonstrate the falsity of their beliefs and the greatness of the Quran, while fearing that this matter might be forbidden?

Inviting non-Muslims to Islam is a fard kifayah (collective obligation) and one of the most important functions of religion. Studying aqeedah (creed), tafsir (exegesis), and da'wah (proselytization), and mastering the language of those being invited to spread Islam and refute misconceptions, are among the greatest acts of worship. Not everyone is suitable for inviting disbelievers. The Shari'ah guidelines for da'wah must be observed, such as sincerity, wisdom, good admonition, and arguing in the best manner.

If the caller to Islam (da'iyah) is a woman and the one being called (mad'u) is a man, then the specific Shari'ah guidelines for interaction between the sexes must be observed, such as ensuring safety from fitna (temptation), not speaking in a soft or alluring manner, and adhering to the prescribed hijab. If the female da'iyah fears fitna for herself, she must not risk her faith, because preserving oneself and one's religion is an individual obligation (wajib 'ayni), while calling to Allah is a collective obligation (wajib kifayah). An individual obligation takes precedence over a collective one.

It is preferable in da'wah in general, and in individual da'wah in particular, that women invite women and men invite men, in order to protect the objectives of da'wah from personal whims.