The cat likely died from the shot.
Otherwise, the dog would be having real problems dealing with a wounded feline.
This is what you’d call “a good cat dog.”
Dachshunds can be very versatile hunting dogs, and if they are needed to control feral pests, they will do the job.
BTW, some of the comments call this action a “criminal offense.”
I hate to tell these people, but in most areas, you can shoot feral cats on your own property. My guess is it’s not illegal in Finland, where this was filmed. Or they wouldn’t have posted it.