The phrase "sensitive palates" refers to people who have a heightened sense of taste. They are able to detect subtle flavors and may have specific preferences or dislikes when it comes to food or drinks. Full definition
Next time, I will omit the jalapeno to appeal to our household's more sensitive palate. (vegkitchen.com)
If you have a particularly sensitive palate, you may also pick up on slight hints of mint. (purefeast.com)
It really tastes nothing like bananas, and I'd love someone with a very sensitive palate like you to try it and help my pinpoint what the flavor is because I still can not quite put it into words but I love it. (feastingonfruit.com)