The flu vaccine will not protect you from coronavirus.
Influenza and COVID-19 (SARS-CoV-2) belong to two different RNA virus families, so one vaccine is not interchangeable for another. Influenza belongs to the Orthomyxoviridae family, while SARS-CoV-2 is classified in the Coronaviridae family. Both Influenza and SARS-CoV-2 rely on different protein layers to initiate responses. Influenza uses two surface antigens, while SARS-CoV-2 uses spike proteins, so their immunization approaches are different.