Health equity gaps often perpetuate disease burdens in marginalized populations, but targeted interventions can dramatically compress elimination timelines. Aboriginal and Torres Strait Islander women face cervical cancer rates double the Australian national average, primarily due to systematic barriers in preventive care access. Mathematical modeling reveals how strategic improvements in vaccination and screening could accelerate disease elimination by over a decade. The Policy1-Cervix simulation model, calibrated specifically for Aboriginal Australian women, evaluated seven intervention scenarios against current coverage patterns. Under existing vaccination rates of 80.9% and persistent screening inequities, cervical cancer elimination would lag significantly behind national targets. However, increasing HPV vaccination coverage to 90% in 12-year-old girls, combined with enhanced screening uptake and improved follow-up compliance, could advance elimination by approximately 15 years. The modeling specifically addressed three critical intervention points: reducing the proportion of never-screened individuals, improving screening timeliness among under-screened women, and increasing follow-up attendance rates. This research exemplifies precision public health modeling that accounts for population-specific epidemiological patterns rather than applying generalized assumptions. The findings underscore how targeted resource allocation toward historically underserved communities can yield disproportionately positive returns on health investments. While Australia aims for national cervical cancer elimination by 2035, this analysis demonstrates that culturally appropriate, community-centered prevention strategies could close persistent health gaps more rapidly than previously estimated, potentially serving as a framework for addressing cancer disparities in other indigenous populations globally.