Is it permissible for a wife to sell in the shop while her husband goes to Friday prayer in Australia?

Scholars have agreed on the permissibility of buying and selling after the second call to prayer on Friday for those on whom Friday prayer is not obligatory, such as women, children, and the sick. This is because the prohibition mentioned in the verse does not apply to them: "O you who have believed, when [the adhan] is called for the prayer on the day of Friday, then proceed to the remembrance of Allah and leave trade."

However, if one of the two parties involved in the transaction is someone on whom Friday prayer is obligatory, then the sale is forbidden for him. Scholars have differed regarding the annulment of the contract and its ruling for the one on whom Friday prayer is not obligatory.

Based on this, it is permissible for your wife to remain at the point of sale on Friday, provided she adheres to the regulations of Islamic law, such as selling permissible goods, observing hijab, refraining from selling to those on whom Friday prayer is obligatory, and adhering to the guidelines for dealing with men.