The most common and most likely answer to this crossword clue is the 7 letter word GRANITA
G
R
A
N
I
T
A
More clues leading to the result GRANITA
- Old lady wants it — a cold dish
- Thickened water ice using egg in a mixture of agar
- Greek girl supplying Italian dessert
- Member of family one thanks for providing cold refreshment
- Baboushka tops it with a dessert
- In Italy, sweet Meg ran Italian stores
- Crushed ice — chunk of iceberg ran it aground
- Beginner in galley managed it, a sorbet-like dessert
- Member of family has vermouth with a watery ice
- Poor rating given to a dessert
Buddy explains!

The straight part
We know that "dessert" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dessert = granita.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does GRANITA mean?
GRANITA noun- An Italian dessert of fruit purée etc. on crushed ice.