I created a custom component with a graphical user interface to add pollen forecasts provided by DWD Deutscher Wetterdienst (Pollenflug-Gefahrenindex) to Home Assistant:
Yes, mdi:flower-pollen is listed on materialdesignicons.com, but has not yet made it into Home Assistent. The newest HA version which has been released today also contains an update of materialdesignicons - but I have not yet checked if the icon is now included.