Don't miss the big stories. Like us on Facebook. Starting Monday at 8:15 a.m., Vermonters age 40 and older will be able to make an appointment for the COVID-19 vaccine. Going online to healthvermont.gov/MyVaccine is the fastest way to make an appointment, the state advises, and there are enough slots at sites throughout Vermont for everyone who is eligible. To use the Health Department's registration system, click on the âMake an appointmentâ button at healthvermont.gov/MyVaccine. Those who prefer to make an appointment through a participating pharmacy can find links on the same page to Kinney Drugs, CVS and Walgreens.