Objectives: This study aims to measure, at two time points, the relationship between self-perceived global stress and the personality traits of the mothers of children who have central auditory processing disorder (APD) and compare it with the results from mothers of typically developing (TD) children. The comparisons were made before the COVID-19 pandemic, as well as late in the pandemic. Methods: The level of stress was assessed using the Perceived Stress Scale (PSS-10), while the Short Big Five Markers (IPIP-BFM-20) were used to assess Big Five personality traits. The study used two independent samples: one evaluated before the COVID-19 pandemic and the other late in the pandemic. Each sample consisted of 108 mothers of children with APD and 79 mothers whose children did not have APD (TD children) as controls. Results: The average global stress levels were similar in mothers of children with APD and in mothers of TD children, both before and in the late stage of the COVID-19 pandemic. During the late stage, both sets of mothers scored similarly on all personality dimensions, but significantly, mothers of TD children exhibited lower emotional stability compared to during the pre-pandemic period. In both groups, emotional stability predicted global stress level at both time points; however, during the pandemic, conscientiousness also became a predictor of global stress level but only in the group of mothers of TD children. Conclusions: Mothers of APD children might be more resistant to additional stressors. It would be prudent to watch mothers of APD and TD children for signs of needing psychological intervention.