Is it okay if I get rid of my dog?
Oh no you don't. Why would you? Does it have anything to do with allergies?
No, I just want to break my addiction to rescue animals.
Pets are precious, you should not get rid of them so quickly. If you feel you are unable to take care of them properly, then it is best to take them to a shelter.
I never liked it and it doesn't like me.
Your pet might just have some underlying issues, take it to the vet and see what's wrong first. You should explore why you don't want to keep it, pets are loving and want only to please you. If you give it more time, I think you'll find a connection.