"To overpower the dish" means that a certain ingredient or flavor is dominant and overwhelms the overall taste of the food, making it unbalanced or unpleasant. Full definition
I suggest cutting the saffron in half so that you don't overpower the dish with saffron flavor; the herbs already make this dish fresh and interesting. (epicurious.com)
The dish had an excellent level of spice to it — providing a little kick without overpowering the dish. (ispyplumpie.com)
I used mozzarella as it has a more fresh and milky taste when compared to a stronger cheese like cheddar, and it won't overpower the dish with its flavour, as it is the first layer you bite into. (notjustspice.com)