It’s extremely cruel to drag the dog...

[Silverobama]

It’s extremely cruel to drag the dog on the street when they are sh*tting.

Context: I used “they” because I don’t know the gender of it. Today a man was walking his dog, but the dog obviously didn’t want to go because he was sh*tting on the street, the man kept dragging it and the dog was very uncomfortable. Is my sentence (in italics) natural?​

 

[emsr2d2]

It’s extremely cruel to drag the a dog on the street when they are sh*tting.
​

(I used “they” because I don’t know the dog's gender. of it.)

Context: Today, a man was out walking his dog, but the dog obviously didn’t want to go move because he it was sh*tting on the street. However, the man kept dragging it and the dog it was very uncomfortable.

Is my sentence (in italics) natural?

See above. Most importantly, note the fact that I have added an asterisk in the swear (curse) words. Such words must be disguised on the forum. Please do this yourself in future.

Your main paragraph was just one long sentence. It needed breaking down into two. If you say a man was walking his dog, it suggests movement on the part of the man and the dog. It's odd to then say "Obviously the dog didn't want to go". Not only does that remove the idea of movement but it suggests the dog didn't even want to leave the house. By adding "out", I've made it clear that the man was out of the house with the dog with the intention of walking the dog.

I'm not sure whether your italic sentence was intended to be something you actually said to the dog owner. If it was, then say "a dog" or "your dog". If you're simply making a general statement, use "a dog".

I would go further and say it's cruel to drag a dog along the street under any circumstances.

There are politer ways of saying what the dog was doing. BrE has a few euphemisms - "doing its business", "having a poo/dump", for example.