noun, na-adjective
unsophisticated palate; inability to discern good and bad flavors
Describes someone who cannot tell the difference between good and bad taste, or who has no refined sense of flavor. Often used self-deprecatingly or to tease someone who likes cheap food.
彼は味音痴だから、高いワインを飲んでもわからない。
He has an unsophisticated palate, so he can't tell even if he drinks expensive wine.
自分は味音痴だと思っているので、
I think I have no sense of taste, so I can't critique cooking.
味覚 is the general sense of taste, while 味音痴 specifically means a lack of refined taste or inability to discern flavors.
Compound of 味 (taste) and 音痴 (tone-deafness). The word 音痴 is extended metaphorically to mean a lack of ability in a certain area, here taste.