Is it obligatory to give the questioner's relative the first monthly allowance from university training as part of her vow to give her the first salary after employment, and is it obligatory to fulfill the vow immediately upon employment after training, or can the amount be paid in installments, taking into consideration the difficulty of communicating with her?

This vow must be fulfilled, and the method of fulfillment depends on the intention of the one who made the vow. If the intention behind "salary" was the first money obtained in general, then the first training bonus must be given. If the intention was specifically the permanent job, then the first salary from it must be given. As for paying the salary in full or in installments, it also depends on the intention; if she intended to give the value, then installments are permissible, otherwise, it must be paid in full. If her relative is traveling and the money cannot be delivered to her, it must be kept for her. The apparent wording indicates that the intention was for the first salary from the first job only, and that is sufficient to fulfill the vow if this was the intention. We remind the questioner that this conditional vow is disliked, and that a woman's work has its regulations and manners.