What is the ruling on a woman residing in America working as an intermediary to purchase goods for another woman in Egypt, given that the real intermediary is her husband, and the wife receives gifts given to her by the company?

If the sale takes place after acquiring and possessing the commodity, then it is permissible. There is no obligation to inform customers that the husband is the one who brings the goods. Gifts given by companies are for the buyer, and if there is a purchasing agent, the gift is for the principal, not the agent.