Is it permissible for a man to go on Hajj without paying for his wife's delivery, seeing and spending on his child, knowing that the wife obtained a Khul' (divorce initiated by the wife) after the birth due to his misconduct during the marriage, and what is the status of his Hajj's acceptance?

Hajj is only obligatory for those who are able, and part of this ability is having sufficient financial means for oneself and one's family. If the husband does not possess enough for Hajj and the expenses of his wife's childbirth, he must postpone Hajj, because childbirth expenses are obligatory upon him. If he performs Hajj with money designated for childbirth expenses, he has committed a sin. Most jurists deem his Hajj valid despite the sin, and this is the most preponderant opinion. However, if the money is sufficient for both Hajj and childbirth expenses, he must hasten to perform Hajj, and he is not obligated to remain with his wife if there is someone to care for her. But if there is no one with her, and she would suffer actual harm from his journey, he is permitted to delay Hajj due to lack of ability. A woman is not permitted to request divorce or khul' from her husband except for a legitimate, recognized Shariah reason.