I would like to marry a divorced Christian woman with 1 child. Is it possible, she will accept Islam.

From a Shar'ee perspective, there is absolutely nothing wrong in marrying her after she accepts Islam. You mention that there is a 'possibility' of her accepting Islam. From experience, we find that in many a case wherein one of the prospective parties is a non-Muslim and the other a Muslim, the non-Muslim partner accepts Islam just for the convenience of marriage and thereafter all is lost and he or she reverts to their old ways and culture.

The Christian culture is very different to that of Islam, hence, these are factors to be considered. This is our general finding in instances such as yours, however, in some very few cases, Islam is chosen and accepted with sincerity and not for the convenience of Nikah. Thus, we advise you to carefully ponder over your future and not to be blinded by such superficial love. An Arabic adage goes, 'Your love for something or someone causes you to become blind (from the long term consequences of a rash decision taken out of love) and deaf (from the advice of your elders and wellwishers).

May we also advise you to make of Istikhaara and seek divine guidance in your situation.

and Allah Ta'ala Knows Best

Mufti Ebrahim Desai