Is it obligatory to inquire about how the fiancée obtained her job (whether through bribery or mediation), despite feeling embarrassed to ask such a question, and what is the ruling on the salary in this case?

You are not obligated to ask how to save money for a job, and it is not permissible for you to do so in the first place, for the following reasons: 1. Clear Violation of a Religious Prohibition: As Allah Almighty says: "O you who have believed, do not ask about things which, if made manifest to you, would trouble you." (Al-Ma'idah: 101). This includes asking about what does not concern one or exposing people's private matters. 2. Forbidden Extremism (Tanattu'): As the Prophet, peace and blessings be upon him, said: "The extremists are doomed." (Reported by Muslim). 3. Harm to the Responsible Party and Ill-Conjecture: Asking about this harms the responsible party and leads to ill-conjecture about them, and harming a Muslim and entertaining ill-conjecture about them are religiously forbidden.

Therefore, one should not preoccupy themselves with such matters or ask about them.

Two additional points: Paying money to get a job might be permissible in some exceptional cases. A woman's work is not permissible except under religious regulations and conditions.