Iryn doesn't need to work because she really can't find a suitable job. The imperial concubines are already too involved in politics, whether it's Alice, who controls the treasury, or Yulin, who controls the Ministry of Internal Affairs, they all have strong influence in the Great Tang Empire.
Ying Yue and the Duke of Qin have already begun to make their mark in the sports circle, and Yue'er has her own voice in the entertainment and news sectors.
If another imperial concubine were to get involved in the distribution of the power pie, Tang Mo might find it inappropriate. So, Iryn can only honestly be a full-time housewife.
Iryn is quite smart; she doesn't yearn for power, and plays a role of non-contention within the Tang Royal Family. She has no ambition for power struggles, nor does she create drama that annoys others. In short, everyone likes her, including Tang Mo.
After all, she's an elf, and Tang Mo is a transmigrator... Who wouldn't want a soft and delicate elf girl?