"GO FLY A KITE"
"WINDY OR WHAT"
If you decide to become a full-on weather app.
"WEATHER WINDOW" probably a problem with the Microsoft Windows, better to avoid the Beast for now
How about a character called Wendy Wind or maybe Whenday Wind.
I think your best icon would be some kind of tree that is bent over due to the wind, I like the idea of a kite.