I don't like my significant others dog
That is not good, do you have a reason why you don't like the dog?
The Dog is extremely annoying, it's not house trained, it doesn't respect its master.
Have you tried training it? You should at least try to tolerate him if he means that much to your significant other.
They're just a bunch of excuses and I'm leaving as I no longer want to put up with it.
I'm sorry you are feeling that way. It is expected that sometimes we don't like our partner's pets. Maybe you could talk to your partner about getting the dog trained so you won't be so annoyed.