I guess you're studying gradable and strong adjectives. "Delicious" is a strong adjective for "tasty". Typically, you use absolute adverbs (absolutely, utterly, etc) with strong adverbs, and gradable adverbs (very, really, quite) with gradable adjectives.
So yes, your choice is right. I can definitely say "absolutely tasty" sounds awkward and funny, though "very delicious" could work... but not as naturally as "absolutely delicious".