The stress impact of COVID-19 restrictions has put the adapted sports community at an unprecedented level of emergency. The self-report Event Scale—Revised (IES-R) questionnaire was administered to assess the level of psychological distress and emotive reactions such as intrusion (INT), avoidance (AV) and hyperarousal (HYP) following training and competitions suspension within a sample of Italian disabled athletes. A total of 146 self-selected volunteers were included in this study: 73 disabled athletes (aged 42.11 ± 13.70) and 73 athletes (aged 40.23 ± 13.73) who served as the control group. Only 8.22% of the disabled participants vs. 30.14% of athletes were affected by subjective distress. MANOVA showed significant differences in IES-R subjective distress for age, where the emerging adults had a higher level of stress than adults (p = 0.031), and for the type of sport, where the individual sports group showed higher scores than the team sports group (p = 0.049). Regarding the IES-R subscales, significant differences were found in INT and AV for age, where the emerging adults showed higher scores than adults (p = 0.018 and p = 0.046, respectively). Significant differences were found in HYP for type of sport, where the individual sports group showed higher scores than the team sports group (p = 0.014). The results confirmed a lower distress level of disabled athletes to adverse events than that expressed by athletes. Both sports engagement and the experience of living with impairment, overcoming structural barriers, could act as a buffer effect against stress due to COVID-19 restrictions.