Jesus that took some digging, but I found it on the school's FAQ page

Other exemption (for FLU VACCINATION requirement only): Ithaca students with other concerns / extenuating circumstances may request an exemption from the Fall 2020 flu vaccination requirement that is part of the university's COVID-19 Behavioral Compact. (Learn more about why Cornell is requiring flu vaccination for students.) Students who identify as Black, Indigenous, or as a Person of Color (BIPOC) may have personal concerns about fulfilling the Compact requirements based on historical injustices and current events, and may find this information helpful in considering an exemption. To apply for a non-medical/religious exemption to the flu vaccination requirement, students should send us a secure message through our patient portal explaining why you believe you should receive an exemption from this requirement. Log in to myCornellHealth and select Messages & Pharmacy Services > New Message > Send a message or an attachment to Immunization Requirements.

https://health.cornell.edu/get-care/health-requirements-new-students/FAQ

Cant seem to archive it, so I took a screenshot.

https://i.maga.host/dtOA3qU.png