This literature review delves into the intricate relationship between anxiety and cognitive impairment, particularly within the context of ageing. It examines various aspects of anxiety, including its definition, types, and associated disorders, alongside the physiological and neurological changes that occur with ageing. The review explores the prevalence of anxiety in older adults and those with cognitive impairments, discussing risk factors, comorbidities, and the impact on daily functioning. It highlights the neurological underpinnings of anxiety and its functional anatomical and neurochemical correlates, focusing on the interplay between anxiety and cognitive decline. The review also addresses subjective and objective cognitive impairments, including dementia, and their connections to anxiety symptoms. Ultimately, the study aims to investigate the potential relationship between anxiety and inhibitory cognitive control, analyzing how it affects various cognitive factors such as attention, information processing speed, reaction time, sleep quality, and memory. The review encompasses a comprehensive analysis of the existing literature, offering insights into the challenges faced by older adults and those with cognitive impairments, and the importance of understanding the complex interactions between anxiety and cognitive health.