Is it permissible to postpone prayer when going out with one's mother if its time conflicts with the mother's un-Islamic commands, and is it obligatory to reconcile with the angry mother in this case?

The mother is good but ignorant of the rulings of Islamic law. She must be taught with gentleness and kindness, and advised with wisdom and good admonition, mentioning the fatwas of scholars and texts from the Qur'an and Sunnah (definition).

It is necessary to explain the seriousness of delaying prayer beyond its essential time, and that it is one of the major sins.

It is advised to show more righteousness and kindness to the mother to attract her to Islamic law, to avoid confronting her, and to apologize to her if one raises their voice or oversteps.

Prayer must be performed at its appointed time. It is permissible to combine two prayers when there is a need, such as fearing harm or not finding a place to pray.

The sister is advised to be righteous and kind to her mother, and to adhere to the law of Allah Almighty, for holding fast to religion is true happiness.