I'm thinking of revoking my offer to pay for professional dog training and gave my mom and (mostly) my grandma an ultimatum
Why did you give your grandma an ultimatum?
I don't like when people try to guilt me by their feelings and my grandma is the worst
You shouldn't guilt trip people like that. Especially your own family members.
I only did it to make her feel bad.
It is awful you would try to make your grandma upset over something trivial. You need to be able to control your pets, they can be really dangerous if they are untrained. What would happen if the dog jumps or trips your grandma and she falls?