As per the current evidence Royal College of Gynecologist and Joint Committee for Vaccination and Immunization recommends vaccination of breastfeeding women as benefits outweighs the risk . Recently Govt of WB also changed their standpoint based on this.
You can visit this authentic source for further information.
https://www.rcog.org.uk/en/guidelines-research-services/coronavirus-covid-19-pregnancy-and-womens-health/covid-19-vaccines-and-pregnancy/covid-19-vaccines-pregnancy-and-breastfeeding/
Next Steps
Go for Covishield Vaccination after tking informed decision
Health Tips
Please check your eligibility as per criteria from Govt of India