She has launched a legal claim against bargain retailer B&M for the use of the name "Kylie" on some of its bed linen products.
But the bargain retailer has retaliated by calling the pop star and former Neighbours actress "greedy".
It also said that the Australian singer is not the most famous Kylie, instead claiming that title should be awards to Kardashian star Kylie Jenner, according to Retail Gazette.
B&M has since renamed the bed linen products "Camilla", but it has so far refused to pay legal costs of £10,000 to the star and furnishing designer Ashley Wilde to designs and makes the "Kylie Minogue at Home" range.
A B&M spokesperson told the retail publication: "There are millions of people called Kylie on the planet, and today the most famous is probably Kylie Jenner who has 100 million Instagram followers (against one million for Ms Minogue)".
“We wish to stress that everyone at B&M thinks Kylie Minogue is amazing and super talented.
“We love her music but we think it’s greedy of her business partners to think you can own a popular first name.”
In 2015, Kylie Jenner attempted to trademark the name "Kylie" in the US, but Minogue's team hit back saying that she was a "secondary television personality."