Use 'deservedly' when someone's positive actions lead to a good outcome or reward. After studying all week, she deservedly aced the test.
Pro Tip 2/3
Recognition
'Deservedly' implies that recognition or a positive result is fair and just for the effort made. He was deservedly applauded for his honesty.
Pro Tip 3/3
Emphasize Fairness
Use 'deservedly' to emphasize the fairness of a situation, often to counter doubt or criticism. Despite the controversy, she deservedly received the award.