Bad weather is not a reason to put the camera away. However make sure your camera and lenses are protected.
This first picture was taken on a miserable grey day with low cloud.
However this next picture was taken in pouring rain and I held an umbrella in one hand and the camera in the other hand.
Fortunately I was able to take this next picture from inside a building, looking through a window.
This next image was a grab shot. It had just stopped raining, the sun immediately appeared through a gap in the clouds and this gentleman suddenly walked into view. I quickly grabbed this shot.
This next picture was taken on a misty morning.
And next we have a misty drizzly day.
Here is another photograph taken from inside. I wanted to include the rain drops on the window.
Here is another misty drizzly day.
And here is another where I held my umbrella in one hand and the camera in the other hand.
Here I was aiming to show raindrops on the leaves.
This next image was taken on my DSLR which is waterproof. Unfortunately I am not.
And finally another image taken holding the umbrella in one hand.