Women face a significantly higher burden of invisible labor, encompassing extensive domestic responsibilities and unrewarded emotional support at work. This pre-existing imbalance, which leads to chronic mental and cognitive strain, is exacerbated as organizations introduce AI. Data shows women experience more severe impacts on productivity, sleep, focus, and work engagement due to this strain compared to men. The mental effort required for AI adoption, like prompting and fact-checking, functions as an additional "charge" that disproportionately affects women, whose cognitive capacities are often already depleted. Women, particularly mothers, typically manage family logistics, emotional needs, and face health disparities rarely accommodated in workplaces. Furthermore, women encounter a "prove it again" dynamic, where their AI-driven achievements are scrutinized more than men's, who are often praised for similar efforts. Women are also overrepresented in administrative roles most vulnerable to early automation, increasing their threat of displacement while simultaneously needing to demonstrate AI proficiency. To address this, organizations must acknowledge the "invisible labor gap" through listening sessions and provide specialized support. They should make unseen work visible by training managers and rotating non-promotable tasks among team members. Finally, organizations must stop assuming equal bandwidth for AI adoption, rebalancing workloads and using AI to alleviate existing drudgery instead of adding new cognitive demands.