Weather god

A weather god or goddess, also frequently known as a storm god or goddess, is a deity in mythology associated with weather phenomena such as thunder, snow, lightning, rain, wind, storms, tornadoes, and hurricanes.

This singular attribute might then be emphasized more than the generic, all-encompassing term "storm god", though with thunder/lightning gods, the two terms seem interchangeable.

They feature commonly in polytheistic religions, especially in Proto-Indo-European ones.

The ancients didn't seem to differentiate between the two, which is presumably why both the words "lightning bolt" and "thunderbolt" exist despite being synonyms.

Of the examples currently listed storm themed deities are more frequently depicted as male, but both male and female storm or other rain, wind, or weather deities are described.

Jupiter , king of gods and weather god in ancient Rome
Mariamman , the Hindu goddess of rain.