The phrase is commonly used in Australian English and might be less recognized elsewhere. As soon as he started criticising her cooking, she said she would not have a bar of it.
Pro Tip 2/3
Strong Rejection
Using this phrase indicates a strong or firm refusal to accept or engage with something. Even when offered a high salary, she wouldn't have a bar of the unethical project.
Pro Tip 3/3
Informal Use
It's an informal expression, more suitable for casual conversations than formal situations. He offered to fix my car for free, but I wouldn't have a bar of it after last time.