Hello @ssheridan, for this purpose we have developed Professional API, you can read more on how it works here – https://api.windy.com.

Embeddable widgets are intended for media and is agains Terms of Use to place it on your website like this.
Integrating Windy in this way is possible only with Professional API. To use it properly, please, read our Terms of Use – https://account.windy.com/agreements/windy-terms-of-use.
There is a trial available, so you can see if it suits your needs.