Review the passage:
Ralph spent all his savings on a diamond ring to give to his girlfriend
Gloria. A greedy young woman who had a box full of expensive trinkets from
ex-boyfriends. Gloria was always looking for a man with
a fat wallet.
You chose the third part, Gloria was always looking for a man with a fat wallet. This part has a main clause: Gloria is the subject; was looking is the verb. A fragment will not have a main clause.