show‧er‧y /ˈʃaʊəri $ ˈʃaʊri/ adjective
raining frequently for short periods:
a showery day

[TahlilGaran] Dictionary of Contemporary English ▲

rainy a rainy period of time is one when it rains a lot:
a cold rainy day in October
The weather continued to be rainy.
The rainy season is in July.
wet rainy. Wet and rainy mean the same and are used in the same way:
In Cyprus during the winter, you’ll only have the occasional wet day.
The wet weather is expected to continue.
another wet summer
It's been wet all week.
damp if the air feels damp, there is a lot of moisture in the air and it may be raining slightly:
It was a cold damp day.
a damp November morning
showery raining for short periods:
the cool, bright, showery weather of early April
The weather will be showery, with some sunny intervals.
drizzly raining slightly, with a lot of mist in the air:
The morning was grey and drizzly.
grey British English, gray American English if the sky is grey, there are a lot clouds, and it looks like it will rain:
The next morning, the sky was grey.
Then, as if by magic, the sun burst through what had until then been a rather grey day.

[TahlilGaran] English Thesaurus ▲